A chord with a length of $1$ runs from $pi/4$ to $pi/2$ radians on a circle. What is the area of the circle?

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Answer 1 · 2017-10-13T02:18:13

Area $=$ 5.363 $color(white)(a)$ sq.units

Angle at the center $=pi/2-pi/4=pi/4$
Base angle each $=(pi-(pi/4))/2=(3pi)/8$
$r*cos((3pi)/8)=1/2$
$r=(1/2)/cos((3pi)/8)=1.3066$

Area of the circle $=pi*r^2=(22/7)*1.3066^2=5.363$

A chord with a length of 1 1 runs from pi/4 pi/4 to pi/2 pi/2 radians on a circle. What is the area of the circle?