Maths-

General

Easy

Question

In the figure above, the circle has center O. What is the area of the shaded region?

## The correct answer is:

### Step 1 :- find the area of triangle OAB

As the angle BOA = 60° and OA = OB = 4 (radius of circle is equal)

An isosceles triangle with one angle 60° is an equilateral triangle .

So the triangle OAB is an equilateral triangle with side 4 .

Area of an equilateral triangle with side a is

Area of equilateral triangle OAB =

Step 2 :- Find area of sector OAB

Area of sector making at centre of circle with radius r is

Here r = 4 and

Area of sector OAB =

area of shaded region = area of sector OAB - area of triangle OAB

area of shaded region =

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