Circle Questions and Answers

The points (-8,-4) and (3,8) are the endpoints of the diameter of a circle. Find the length of the radius of the circle. The length of the radius is

A circle has all three types of symmetry. True False

A circle has a radius of 3 feet. What is the area of a sector with a central angle of 90 degrees?

A circle has a radius of 3 feet. What is the length of the arc with a 60 degree central angle? Select one: π feet 2π feet 6π feet 3π feet

Diameter = 18, Angle = 36°, Arc length = ? 1.8 The injury was not a stubbed toe. 1.8π Professor Delta was winding his watch in the movie theater. 3.6π The injury was not done by chemical poisoning. 32.4π Coach Omega was cooking in the kitchen.

Consider the equation of circles S₁ : x² + y² + 24x - 10y + a = 0 S₂: x² + y² = 36 Which of the following is not correct. (1) Number of non-negative integral values of 'a' such that S₁ = 0 represents a real circle 170 (2) If S₁ 0 and S₂ = 0 has no point in common then number of integral values of a is more than 49 (3) If S, = 0 and S₂ = 0 intersect orthogonally then a = 36 (4) If a = 0 then number of common tangents to the circles S₁ = 0 and S₂ = 0 are 3.

Find an equation of the circle whose diameter has endpoints (-4, 5) and (2, 3).

A circle has a radius of 11 m. Find the radian measure of the central angle that intercepts an arc of length 5 m.

Determine the center and radius of the following circle equation: x² + y² + 4x − 8y - 16 = 0

In a circle with radius 8.9, an angle intercepts an arc of length 15.9. Find the angle in radians to the nearest 10th.

In a circle with radius 6.5, an angle measuring 5.5 radians intercepts an arc. Find the length of the arc to the nearest 10th.

Write the equation of the circle with the given center and radius: Center (-10,5) Radius = 8

The diameter of a circle is 6 ft. Find its area to the nearest tenth. Answer: A=ft²

The diameter of a circle is 5 in. Find its area to the nearest tenth.

Find the center-radius form of the equation of the circle with center (-9,1) and tangent to the x-axis. (Hint: A line tangent to a circle touches it at exactly one point.) Type the center-radius form of the equation of the circle. (Type an equation. Simplify your answer.)

Rewrite the equation for this circle in Standard Form: x² + 4x + y² + 16y + 64 = 0 Standard Form: Center: Radius: List 4 points on the circle.

Circle P is dilated to form circle P'. Which of the following statements is always TRUE? A. The length of any chord in circle P is greater than the length of any chord in circle P'. B. The radius of circle P is equal to the radius of circle P'. C. The diameter of circle P is greater than the diameter of circle P'. D. The ratio of the diameter to the circumference is the same for both circles.

Find the center and radius of the circle given the equation below. Write the center as an ordered pair and the radius as a number. (x + 6)² + (y + 6)² = 9

The equation models the position and range of a tornado alert siren. Describe the position and range of the siren. (x+6)² + (y-8)² = 144 The position of the alert siren is

Write the standard form of the equation of a circle with radius 8 and center (-9,1)

The equation x² + y² - 4x + 2y = b describes a circle. Part A Determine the y-coordinate of the center of the circle. The y coordinate of the center is Part B The radius of the circle is 7 units. What is the value of bin the equation? The value of bis

How are chords and secants alike? How are they different? They are alike because they both intersect the circle___They are different because chords are____and__ secants are

Which is the equation of a circle that passes through (2,2) and is centered at (5,6)? (+ 5)² + (y + 6)² = 25 (x - 5)² + (y-6)² = 25 (x-6)² + (y-5)² = 25 (x - 5)² + (y-6)² = 5

III. Always, Sometimes, or Never. 29. A diameter is a chord. 30. A segment with both endpoints on a circle is a radius.. 31. A secant to a circle a tangent to the same circle. 32. A chord of a circle can be a radius. 33. Two externally tangent circles can have more than two common tangents. Two tangents to a circle at the ends of a diameter are parallel.

student draws a circle with a radius of 3 inches and highlights an are on the circle that measures inches. What is the radian measure of the central angle that is subtended by the highlighted arc? A 5π/6 radians B 18π/5 radians C 15π/6 radians D 5π/18 radians

The formula for the circumference C of a circle, in terms of the radius, is C=2πr, where r stands for the radius. Rearrange the quantities in this formula to give a new formula for the radius of a circle in terms of the circumference.

A circle has the equation x² + y²-3x+6y + 9 = 0. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is. (Type an ordered pair, using integers or fractions.) The radius of the circle is. (Type an integer or a fraction.) (b) Use the graphing tool to graph the circle. (c) What are the intercepts? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The intercept(s) is/are (Type an ordered pair. Use a comma to separate answers as needed. Type exact answers for

Consider the following equation of a circle. (x - 3)² + (y - 3)² = 16 Graph the circle.

The circle-shaped part of the necklace above has a diameter of 5 mm. The circumference of the circle-shaped part of each of the earrings is one-half the circumference of the necklace. What is the circumference of the circle-shaped part of one of the earrings? (Use 3.14 for .) A. 3.925 mm B. 7.85 mm C. 15.7 mm D. 31.4 mm

The hour hand on a clock is 4 inches long. Between 7 p.m. and 11 p.m., the hour hand travels along an arc subtended by an angle of 2π/3 radians. Approximately how many inches does the tip of the hour hand travel along the arc during that time? 5.65 inches 8.38 inches 16.75 inches 4.19 inches

In the graph on the right, a line segment through the center of the circle intersects the circle at the points (2,7) and (16, 9) as shown. a. Find the coordinates of the circle's center. b. Find the radius of the circle. c. Use your answers from parts (a) and (b) to write the standard form of the circle's equation.

Consider the following equation of a circle. (x + 3/7)² +y ² = 25/9 Find the center, (h. k).

What is the equation of the circle in center-radius form? x² + y² -20x + 32y = 78 (x-10)² + (y +16) = 104 (x +10) + (y +16)² = 434 (x-10) + (y +16)² = 434 (x-100) + (y-256)² = 104

Find the center and the radius of the circle, (x − 6)² + (y + 1)² = 16 Center: (6, -1), radius: 4 Center: (-6, 1), radius: 8 Center: (-6, 1), radius: 4 Center: (6, -1), radius: 8

Write the equation of the circle that has a center of (3,2) and a point on the circle of (10,4). (x-3)2 + (y-2)² = 205 (x+3)2 + (y + 2)² = 25 (x+3)2 + (y + 2)² = 5 (x-3)² + (y-2)² = 53

What is the center and length of the radius of the circle x² + (y+18)² = 22? (0.-18) Radius: 11 (0.18) Radius: 11 Center: (0.-18) Radius: √22 Center: (0.18) Radius: √22

Write the equation of the circle that has a diameter with endpoints as (9, 15) and (-1, -7) and a radius of √146. (x - 5)² + (y - 11)² = 146 (x-4)² + (y - 4)² = 146 (x-4)² + (y 4)² = √146 (x + 4)² + (y + 4)² = 146

Find the area of the sector of a circle with radius 6 meters formed by a central angle of 3.6 radians: square meters

A circle has the equation (x-7)² + (y + 6)² = 121. Which of the following statements is NOT true? The diameter of the circle is 22. The y coordinate of the center is 6. The x coordinate of the center is 7. The radius of the circle is 11.

A circular garden is to be made with a 3.5 ft path going around it. If the radius of just the cultivable part of the garden is 9.5 ft, what is the area of the path? Use π = 3.14.

A circle has the equation x² + y² = 9. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is (0,0). The radius of the circle is

What is the equation of the circle that has a diameter with endpoints (4,5) and (-2,-5)? (2-1)² + y² = 34 (x + 1)² + y² = 4 (x - 2)² + (y-5)² = 16 (z-1)² + y² = 4

Write the equation of the circle with a center of (-11, -12) and a radius of √17. (x-11)2+(y- 12)² = 17 (x+11)2 + (y + 12)² = √17 (x+11)2 + (y + 12)² = 17 (x +11)2 + (y + 12)² = 34

Write the standard form of the equation and the general form of the equation of the circle of radius r=1/8 and center (h,k) = (1/8,0) Graph the circle.

A circle has the equation (x +1)² + (y-3)² = 81. Check all of the following statements that are TRUE. The x coordinate of the center is 1. The x coordinate of the center is -1. The y coordinate of the center is - 3. The y coordinate of the center is 3. The diameter of the circle is 9. The radius of the circle is 9. The diameter of the circle is 22.

Write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k). Then graph the circle. r=2; (h,k) = (0,2)

A circle has the equation 4(x - 2)2 + 4y² = (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph.

What is the equation of the circle in center - radius form: x² + y² + 12x-10y-7 = 0? (x +12)+(y-25)² = 68 (x+6)² + (y- 5)² = 61 (x-6) + (y + 5)² = 68 (x+6)² + (y- 5)² = 68

Choose the equation of a circle with radius 9 and center (2,-7). Choose the correct answer below. A. (x-2)2+(+7)² =9 B. (x-2)2+(+7)² = 81 C. (x+2)²+(y-7)² = 81 D. (x+2)²+(y-7)² = 9

Points A and B lie on a circle centered at point O. If OA = 5 and circumference 4 what is the area of sector AOB? Use the value π = 3.14, and choose the closest answer. A. 19.6 square units B. 39.3 square units C. 7.85 square units D. 15.7 square units