Question

What is the quarter circle's radius?

Answer 1

Perimeter of the quarter circle =
`2 \pi r+r+r`


`2 \pi r+r+r` = 17.65km


`2 \pi r+2r` = 17.65


`2r( \pi +1)` = 17.65


`2r(4.14)` = 17.65


`2r` = 17.65 ÷ 4.14

2r = 4.263

r = 2.13 (nearest hundredth)