Area of a Circle and a Sector 4

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

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.

A circular garden with a radius of 8 feet is surrounded by a circular path with a width of 3 feet. What is the approximate area of the path alone? Use 3.14 for . 172.70 ft2 178.98 ft2 200.96 ft2 379.94 ft2

B) 178.98 ft2

What is the area of the shaded sector of the circle? 9 27 81 162

B) 27pie units squared

The measure of central angle RST is radians. What is the area of the shaded sector? 4 8 16 20

B) 8 pie units squared

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

C) 16 mm

Line segment WX is the radius of circle X, and line segment ZY is the radius of circle Y. Points W, X, C, Y, and Z are all on line segment WZ. What is the area of circle C, which passes though points W and Z? 81 164 324 1296

C) 324pie units squared

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. Since the circumference of the circle can be represented by 2πr, and the area of a parallelogram is determined using A = bh, which represents the approximate area of the parallelogram-like figure? A = (2πr)(r) A = (2πr)(2r) A = (2πr)(r) A = (2πr)(2r)

C) A=1/2(2πr)(r)

In circle G, r = 3 units. Maria draws a circle with double the area of circle G. What is the area of Maria's circle? 6 9 12 18

D) 18pie units squared

The smallest of the three circles with center D has a radius of 8 inches and CB = BA = 4 inches. What is the sum of the areas of all three circles? 80 96 208 464

D) 464pie in. squared

Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona's circle? 7 14 28 49

D) 49 pie msquared

What is the sum of the areas of circle C and circle D? 7 14 49 98

D) 98pie units squared

The area of circle Z is 64.pie ftsquared What is the value of r? r = ft

it's r = 8 ft

Which statements are true regarding the area of circle D? Check all that apply. The area of the circle depends on the square of the radius. The area of circle D is 36. The area of circle D is 324. The area of the circle depends on the square of pi. The area of the circle depends on the central angle.

1 , 3

The measure of central angle YCZ is 80 degrees. What is the sum of the areas of the two shaded sectors?

36pie units squared

The measure of central angle XYZ is 1.25 radians. What is the area of the shaded sector?

40pie units squared