How is this correct?

3. A family is building a circular fountain in the backyard. The yard is rectangular and measures 7x by 6x and the fountain is going to be circular with a radius of 2x. Once the fountain is build, what will be the area of the remaining yard?

A. 38x^2

B. [x] 2x^2 (21 _ 2pi)

C. 42x^2 _ 2pix^2

D. 38pix^2

Question

8 June, 19:29

+5

Answers (1)

Know the Answer?

Elliott Huffman · Answer 1

The answer is B. [x] 2x^2 (21 _ 2pi)

proof

2x^2 (21 _ 2pi) = 42x^2 - 4pix^2 = rectangular area - circular area