Area Questions and Answers

Find the volume of the composite figure to the nearest whole number 8m 2 m 6 m

Can A has a diameter of 6 cm and a height of 6 5 cm Can B has a diameter of 16 cm and a height of 11 5 cm What is the difference in volume of the two can types to the nearest cubic centimeter Apower

Find the surface area of the prism D 3 Select one O a 94 O b 52 O c 79 O d 60 5

Find the value of the variable in the figure The diagram is not to scale Volume 21x

What is the surface area of the prism 16 in 25 in 12 in Select one O a 1296 in O b 1392 in O c 1792 in O d 1200 in

Find the surface area of the cone in terms of it 8 10 L C Select one O a O b O c O d 72m 144 80m 90m 6

Find the area of each regular polygon with the given radius or apothem Write your answer as an integer or a simplified radical 13 Find the area of each regular polygon with the given radius or apothem Write your answer as an integer or a simplified radical 10 11 14in in 2 14 20cm B 10v3 in cm2 12 A 9ft 15 4 3 m ft

c Determine 2 In the sketch alongside BR CD 5 BC BQ and PB BQ 3 4 D 5 Area of ACQD Area of ABQR Area of AQPD Area of ARPD Area of ACQD Area of APQR Area of ACQD Area of APQD B Area of ACQD Area of ARPD Q

5 3 Find the area of each trapezoid rhombus or kite 1 15 in 4m 16 m 6 m 10 m 15 m rapezoids Rhombi and Kites 11 in 7 5 in me 2 2 4 14 mm m 5 ft 8 ft 6 4m 16 m T 12 mm VIR DIE STO ALGEBRA Find each missing length 7 A trapezoid has base lengths of 6 and 15 centimeters with an area of 136 5 square centimeters What is the height of the trapezoid trapezoid has a height of 24 meters a base of 4 meters and an area of 264 hat is the length of the other base One diagonal of a kite is four times as long as the other diagonal If the area of the kite is 72 square meters what are the lengths of the diagonals square meters

4 SAT Question A landscaper is designing a rectangular garden The length of the garden is to be 5 feet longer than the wide If the area of the garden will be 104 square feet what will be the length in feet of the garden

Find the surface area of the pyramid The surface area of the pyramid is in Type a whole number 12 in 10 in E

Progress The movement of the progress bar may be uneven because questions can be worth more or less including zero depending on your answer A rectangular prism has the following dimensions find the volume of the rectangular prism O 10a6 30a 10a O 10a 30a 10a O 10a 30a 10a 10a 3a a 5a w 2a and h Question ID 982 a 3a a Use the formula V 1 w h

Find the surface area of the cylinder 5 in 15 in The surface area of the given cylinder is in Simplify your answer Type an exact answer in terms of Use integers or decimals for any numbers in the expressi

Find the lateral area of the cylinder The lateral area of the given cylinder ism Round to the nearest whole number as needed 10 m 14 m

Find the surface area of the cylinder The surface area of the cylinder is cm Simplify your answer Type an exact answer in terms of 6 cm 9 cm

T t B C TT T Tt Using the diagram what is the percent chance that the offspring are homozygous dominant for the trait A 25 50 75 t Tt tt

10 8 6 4 2 8 N 4 6 8 10 y 2 4 6 8 10 X A circle centered at the origin contains the point 0 9 Does 8 17 also lie on the circle Explain O No the distance from the center to the point 8 17 is not the same as the radius O No the radius of 10 units is different from the distance from the center to the point 8 17 O Yes the distance from the origin to the point 8 17 is 9 units O Yes the distance from the point 0 9 to the point 8 17 is 9 units

To derive the standard formula of a circle a radius ris constructed as the hypotenuse of a right triangle as shown D h k E x y F x What are the lengths of the sides of the right triangle that is formed Check all that apply Oh Ok Oh k O x h O x y y h Oy k

What is the value of x 07 07 2 14 O 14 2 45

Which equation describes a circle with center 4 7 and radius 9 1 4 y 7 9 x 4 y 7 2 81 x 4 y 7 9 x 4 y 7 81 A B C D

In A RST which trigonometric function is represented by the ratio RS R cos R csc S sin R tan S S

The light from a lamp creates a shadow on a wall with a hyperbolic border Find the equation of the border if the distance between the vertices is 20 inches and the foci are 7 inches from the vertices Assume the center of the hyperbola is at the origin

The pair of figures to the right are similar What is the ratio of the perimeters and the ratio of the areas The ratio of the perimeters is Simplify your answer GIPEED 9 in 12 in

The coordinates of the vertices are translated 5 units right and 2 units down Which of the following rules correctly represents that transla A D B C x y x 2 y 5 x y x 2 y 5 x y x 5 y 2 x y x 5 y 2

A ane has a slope of 4 What is the slope of any line perpendicular to this line O A C B C D undefined

Carl is attempting to find the value of 2 He set up the proportion 2 If Carl is correct what should his answer be If Carl is incorrect what is the correct proportion and answer Carl is correct and z 24 A D B C Carl is correct and x 6 Carl is incorrect because the proportion should be and x 1 5 Carl is incorrect because he cannot find x due to lines BE and CD not being parallel

Two variables are correlated with r 0 23 Which description best describes the strength and direction of the association between the variables O weak positive O strong negative O strong positive O weak negative

Find the length of the highlighted arc 3 in Select one Oa O d 40 5 t in O b 2 3 O c 8 in t in 5 TT in

5 Solve for the value of x A 4 8 B 14 C 6 D 2 anol K J 83 M 9x 4

C 220 O B What is the measure of angle OAC if major arc AB measures 220 degrees O 55 O 70 O 110 O 140

H UN NO K M 1319 J L Which statements are true Check all that apply The circumscribed angle L has a measure of 49 O The circumscribed angle L has a measure of 65 5 If the measure of arc HJ is 98 the measure of angle HMJ is 98 If the measure of arc HJ is 98 the measure of angle HKJ is 98 If the measure of arc HJ is 98 the measure of arc HK is 131

B C A 109 F LL E Use the diagram to complete the statements The measure of minor arc EF is The measure of angle DAB is

c Fewer classmates have chores than don t have chores Do Not Have Chores 8 Fiona interviewed her 30 classmates on whether or not they have a sibling and if they have assigned chores at home She displayed her results in the table shown Which statement is true A More than half of her classmates are only children B More only children do not have chores than those with a sibling D Half of her classmates have a sibling and half do not 9 6

Show all work for each question 17 Given the graph Height 1 2 3 4 5 6 23 4 6 Age versus Height Age 7 a Describe any trends you see 2 marks

9 In circle Z If RS 18 and mTY 42 find each measure TV TU WS MYU 9 TV 9 TU 18 WS 9 arc YU 42 arc RS 85

Find the length of the arc shown in red Leave your answer in terms of The length of the arc is ft CELEB 42 ft

Which data set would give the smallest standard deviation Select one a 100 150 200 250 300 Ob 2 20 102 80 80 c 100 200 250 300 350 d 1 5 7 150 2

u represents the letter Select one O a mu O b theta c beta O d sigma

Using a statistics calculator or spreadsheet calculate the standard deviation of the heights of 15 soda cans 92 8 92 8 92 9 92 9 92 9 92 8 92 7 92 9 92 1 92 7 92 8 92 9 92 9 92 7 92 8 Round to the nearest 100th

A C O B Central angle AOB and inscribed angle ACB intercept the same arc Concave polygon AOBC is formed The sides of central angles will congruent The sides of inscribed angles will congruent be be

5323 19AM Question 3 The figure below is a triangular prism What is the volume of the prism if the area of its base is 14 square centimeters 18 cm A B uddan C D 32 cubic centimeters 126 cubic centimeters 252 cubic centimeters T25 Geometry 34 A 324 cubic centimeters

Square RSTU is shown below with a line AB drawn through its center If the square is dilated using a scale factor of and a line is drawn through the center of the new dilated figure what relationship will that line have with line AB in the drawing below 10 points S A T B

r answer to two decimal places if necessary The slanted sides of the trapezoid are 12 4 mm long 12 mm 19 mm 25 mm 20 mm

In the figure angle ZYX is measured in degrees The area of the shaded sector can be determined using the formula N mZZYX 360 X T Which best explains the formula O The central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector O The central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector O The central angle measure of the sector multiplied by the area of the circle will yield the area of the sector O The central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector

D 3 5 C E B F The radius of circle C is 6 units and the measure of central angle ACB is radians What is the approximate area of the entire circle square units What is the approximate area of the entire sector created by central angle ACB square units What is the approximate area of the shaded region only square units

12 11 1 10 9 8 765 2 3 4 What is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4 00 O 6 75 in O 20 25 in O 27 in O 81 in

What is the approximate circumference of the circle What is the height of the parallelogram What would be the approximate length of the parallelogram if the base were completely straight What would make the estimation of the circle s area more precise What is the area of the circle used to create the parallelogram like shape to the nearest tenth of a square unit 3 AW M

Timothy built a base for a circular tabletop The base can support a tabletop with a radius of at least 6 inches but not more than 23 inches What is the smallest possible area of the tabletop that will fit on Timothy s table base Round the answer to the nearest whole square inch square inches What is the largest possible area of the tabletop that will fit on Timothy s table base Round the answer to the nearest whole square inch square inches

B A 5 O 4 9 1561 O D Which statement is true regarding the two shaded sectors of circle O Explain O The area of sector AOB is greater than the area of sector DOC because the central angle measures are equal O The area of sector DOC is greater than the area of sector AOB because the radii are equal O The area of sector AOB is equal to the area of sector DOC because the central angle measures are equal The area of sector AOB is equal to the area of sector DOC because the radii are equal

An engineer is designing a parabolic reflector The area of aperture A is equivalent to times the square of the diameter D If the engineer wants the area of aperture to be at least 15 square feet which of the following inequalities could be used to determine the diameter OA 15 D 4 OB 15 VD O C 15 OD 15 TD