Quarter circle

What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?

Correct answer:

r =  41.4214 cm

Step-by-step explanation:

R=100 cm r2+r2=(Rr)2 2r2=(Rr)2 2r=Rr 2r+r=R r(2+1)=R=100  r=R/(2+1)=100/(2+1)=41.4214 cm



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Math student
Where did the +1 in the r = R / (sqrt(2) + 1) come from?

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