Area of a Circle and a Sector Answers
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3
The measure of central angle XYZ is 1.25 radians.
A
10 units2B
20 units2C
40 units2D
80 units24
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.
A
172.70 ft2B
178.98 ft2C
200.96 ft2D
379.94 ft25
In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula .
A
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.B
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.C
The central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.D
The central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.6
The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram.
A
A = (2πr)(r)B
A = (2πr)(2r)C
A =(2πr)(r)
D
A =(2πr)(r2)Did you find these answers helpful?
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