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ella [17]
3 years ago
11

The perimeter of a quarter circle is 10.71 meters what is the circles radius

Mathematics
2 answers:
dmitriy555 [2]3 years ago
5 0
The radius would be 1.7
Morgarella [4.7K]3 years ago
3 0
C=2pir
circumfrence is distance around
so 1/4 of that is(2pir)/4=pir/2
and the 2 sides are radii
that quarter circle perimiter is 2r+c/4 or 2r+pir/2

10.71=2r+pir/2
times 2both sides
21.42=4r+pir
undistribute
21.42=r(4+pi)
divide both sides by 4+pi
(21.42)/(4+pi)=r
aprox pi=3.141592
r=2.99783 meters
aprox
r=3meters about
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