Area of a Circle and a Sector

Question 1

Circle S is shown. Line segment R T is a diameter. The length of S T is 4. Sector R S T is shaded.

Revolt · Accepted Answer

8

Question 2

Circle V is shown. Line segment T V is a radius with length 14 feet.

Revolt · Accepted Answer

196

Question 3

The circular face of a watch has an area that measures between 800 and 900 square millimeters.What could be the radius of the watch face? Use 3.14 for .

Revolt · Accepted Answer

16 mm

Question 4

The measure of central angle YCZ is 80 degrees.

Revolt · Accepted Answer

36 units2

Question 5

In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula .

Revolt · Accepted Answer

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.

Question 6

Circle L is shown. Line segments K L and M L are radii. The length of K L is 9. Angle M L K is 120 degrees. Sector M L K with a 120 degree angle is shaded.

Revolt · Accepted Answer

27

Question 7

The area of circle Z is 64 ft2.

Revolt · Accepted Answer

r = 8 ft

Question 8

Circles G and X are connected at point H. The length of G H is 6 centimeters and the length of H X is 8 centimeters.

Revolt · Accepted Answer

49

Question 9

Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle?

Revolt · Accepted Answer

49

Question 10

2 smaller circles are within a larger circle. The smallest circle has radius D C. Line segment C B is the distance to the rim of the next circle. Line segment B A is the distance to the rim to the next circle.

Revolt · Accepted Answer

464

Area of a Circle and a Sector Answers

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