Answers 25-26 FL-1206315-Geometry for Course Recovery S2Area of a Circle and a Sector

Area of a Circle and a Sector Answers

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

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

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

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 .

14 mm

15 mm

16 mm

17 mm

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

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.

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.

The central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

The central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Circle X and Y are connected at one side. Larger circle C surrounds both circles. Line segment W Z is the diameter of circle C. The line segment goes through all points of the other circles. The length of W X is 8 and the length of Y Z is 10.

164

324

1296

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.

162

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.