Area of a circle and a sector quiz

In circle V, r = 14ft. What is the area of circle V? 14 28 49 196

d. 196pi ft squared

Which statements are true about circle Q? Select three options. The ratio of the measure of central angle PQR to the measure of the entire circle is . The area of the shaded sector is 4 units2. The area of the shaded sector depends on the length of the radius. The area of the shaded sector depends on the area of the circle. The ratio of the area of the shaded sector to the area of the circle is equal to the ratio of the length of the arc to the area of the circle.

a. The ratio of the measure of central angle PQR to the measure of the entire circle is . c. The area of the shaded sector depends on the length of the radius. e. The ratio of the area of the shaded sector to the area of the circle is equal to the ratio of the length of the arc to the area of the circle.

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

b. 27pi units squared

The measure of central angle YCZ is 80 degrees. What is the sum of the areas of the two shaded sectors? 18 units2 36 units2 45 units2 81 units2

b. 36pi units2

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

b. 8pi units squared

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. 324pi units squared

The measure of central angle XYZ is 1.25 radians. What is the area of the shaded sector? 10 units2 20 units2 40 units2 80 units2

c. 40pi units squared

Point G is the center of the small circle. Point X is the center of the large circle. Points G, H, and X are on line segment GX. What would be the area of a new circle that has line segment GX as its diameter? 16 36 49 98

c. 49pi cm 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)(r2)

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. 18pi units squared