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# Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°

**Solution:**

We use the formula for the area of the sector of a circle.

The formula for the area of the sector of a circle with radius 'r' and angle θ = (θ/360°) × πr^{2}

Given, θ = 60°, Radius = 6 cm

Area of the sector = (θ/360°) × πr^{2}

= 60°/360° × 22/7 × 6 × 6

= 132/7 cm^{2}

**☛ Check: **NCERT Solutions Class 10 Maths Chapter 12

**Video Solution:**

## Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°

NCERT Solutions Class 10 Maths Chapter 12 Exercise 12.2 Question 1

**Summary:**

The area of a sector of a circle with radius 6 cm is 132/7 cm^{2} if angle of the sector is 60°.

**☛ Related Questions:**

- Find the area of a quadrant of a circle whose circumference is 22 cm.
- The length of the minute hand of a clock is 14 cm. Find the area swept by the minute hand in 5 minutes.
- A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the corresponding : (i) minor segment (ii) major sector. (Use π = 3.14)
- In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find:(i) the length of the arc(ii) area of the sector formed by the arc(iii) area of the segment formed by the corresponding chord

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