Question

A chord 10 cm long is drawn in a circle whose radius is 5$\sqrt{2}$ cm. Find area of both the segments.

Answer 1

We know that the area of minor segment of angle θ in a circle of radius r is,

It is given that the chord AB divides the circle in two segments.

We have and. So,

Let. Then,

In, we have

Hence,

Now using the value of r and θ, we will find the area of minor segment