Question

If two circles each of unit radius intersect orthogonally, the common area of the circle is

a. \(\frac{2\pi}3 - \sqrt3\)

b. \(\frac{2\pi}3 + \sqrt3\)

c. \(\frac{2\pi}3 - \frac{\sqrt3}2\)

d. \(\frac{2\pi}3 + \frac{\sqrt3}2\)

Answer 1

Correct option is d. \(\frac{2\pi}3 + \frac{\sqrt3}2\)

Required area = 2. Area of sector ABC – Area of square ABCD