Question

谁能告诉我这道GRE数学题怎么解

Figure 1 is a circle with center C.Two diameters of the circle are drawn, dividing the circle into 4 sectors. Two nonadjacent sectors are shaded, and the central angle of one of the unshaded sectors measures 160 degrees. End skippable figure description.
1. Figure 1 above shows a circle with center C and radius 6. What is the sum of the areas
of the two shaded regions?
A. 7.5 pi
B. 6 pi
C. 4.5 pi
D. 4 pi
E. 3 pi

THANKX！！

Answer 1

整个圆的面积是π·6平方=36π，两个阴影部分的圆心角都为160°，即总圆心角为320°，所以，非阴影部分面积是36π×(360°-320°)/360°=4π，故本题正确答案为D。

为什么不把FIGURE1画出来，害得我想像了好久。

Answer 2

关于GRE题目的问题可以去新东方在线论坛求助哦，上面有很多考过的小伙伴

Answer 3

追问

为啥用（360-320）/360再乘圆面积呢？

Answer 4

关于GRE题目的问题可以去新东方在线论坛求助哦，上面有很多考过的小伙伴