Areas of Polygons and Circles

Find the area of the kite. Round to the nearest tenth.Write only numerical answer.

The height of a parallelogram is 6 feet more than its base. If the area of the parallelogram is 160 square feet, find the length of its base.

• 5 ft

• 11 ft

• 6 ft

• 10 ft

Find the area of a regular octagon with a perimeter of 96 centimeters.

• about 695.3 cm²

• about 576 cm²

• about 532 cm2

• about 119.3 cm²

Find the area of an equilateral triangle with a side length of 14 inches.

• about 12.1 in²

• about 42 in²

• about 84.9 in²

• about 254.6 in²

Find the area of a circle with a circumference of 20π units.

• 400π units²

• 314π units²

• 200π units²

• 100π units²

What is the area of the shaded sector if the measure of ∠ABC is 70˚?

• 15.3 in²

• 63.3 in²

• 381.8 in²

• 1581.7 in²

Find the area of quadrilateral DEFG.

• 154 cm²

• 218 cm²

• 244 cm²

• 308 cm²

If the triangles shown at the right are similar, what is the value of x?

• 5 in

• 16.8 in

• 20.4 in

• 30.8 in

Serena is wearing a pendant that was made by inscribing a square ruby in a sterling silver circle. The distance from the center of the pendant to its edge is 5.3 centimeters. Find the area of the pendant that is not covered by the ruby. Round to the nearest hundredth.

• 32.07 cm²

• 56.18 cm²

• 60.19 cm²

• 88.24 cm²

Find the area of the shaded segments. Write your answer rounded to the nearest tenth, only as a number.