Area of circles

A circle has a radius of 8 inches. Find the area of a sector of the circle if the sector has an arc that measures 45°.

8 pi.

Find the length of an arc of an 8" radius circle if the arc measures 45°.

2 in.

Find the difference in area between the circle and the triangle. Click on the answer until the correct answer is showing.

a = 9 pi - 9/2 sqrt 3 (60 degree, 3 circle)

Find the approximate area of a circle with radius equal to 8 ft. (Use pi = 3.14.)

200.96.

Find the exact circumference of a circle with diameter equal to 8 ft.

8 pi.

Find the area created by the overlapping circles given the following information. Circle A: radius = 6in, area of ΔCAD = 17.18in2, and m∠CAD = 72° Circle B: radius = 8in, area of ΔCBD = 25.9in2, and m∠CBD = 54°

9.70.

Find the difference in area between the large circle and the small circle. Click on the answer until the correct answer is showing.

a = 27 pi (6, 3 circle)

Find the area of a segment formed by a chord 8" long in a circle with radius of 8".

a = 32/3 pi - 16 sqrt 3

Find the difference in area between the circle and the square. Click on the answer until the correct answer is showing.

a = 4 pi - 8 ( 2 sqrt 2)

Find the area of the region between a regular hexagon with sides of 6" and its inscribed circle.

a = 54 sqrt 3 - 27

Find the area of segment CED given the following information: radius = 6in, area of ΔCAD = 17.18in2, and m∠CAD = 72° Round your answer to the nearest hundredths if necessary.

5.44.

ZYX = pi / 3 radians. Covert this radian measure to its equivalent degree measure.

60 degrees

Circle D has a radius of 21 millimeters and central angle, ∠EDF, which measures 60°. Find the exact length of .

7 pi mm

Given circle P, which of the following options are minor arcs? Select all that apply.

AC AB BD

Find the combined area of the triangles. Click on the answer until the correct answer is showing.

a = 16 ( 4 circle)

Find the area of the shaded sections. Click on the answer until the correct answer is showing.

a = 16 / 3 pi (4, 120 circle)

Find the radius of a circle whose area equals the area of a rectangle that measures 2 ft. by 11 ft. (Use pi = 22/7)

sqrt 7.