Area of a Circle and a Sector

Question 1

Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet.

Revolt · Accepted Answer

178.98 ft2

Question 2

Circle G is shown. Line segment F G is a radius with length 3.

Revolt · Accepted Answer

18

Question 3

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 4

The measure of central angle YCZ is 80 degrees.

Revolt · Accepted Answer

36 units2

Question 5

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

Revolt · Accepted Answer

196

Question 6

Circles C and D overlap. The distance from point C to point D is 7 centimeters.

Revolt · Accepted Answer

98

Question 7

The measure of central angle XYZ is 1.25 radians.

Revolt · Accepted Answer

40 units2

Question 8

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 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

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

Area of a Circle and a Sector Answers

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