In the figure above, O is the center of the circle and the diameter is 10. If the area of the shaded region is π, what is the length of minor arc XY ?
A.
B.
C.
D. 5π
Answer:A
In the figure above, O is the center of the circle and the diameter is 10. If the area of the shaded region is π, what is the length of minor arc XY ?
A. B. C. D. 5π
Explanation: ASince the diameter is 10, the radius must be 5. A = πr2, so A = 25π. The shaded region takes up or of the area, so minor arc XY must take up of the circumference. C = πd so C = 10π. Therefore, the length of minor arc XY is (10π), or , which is (A).