Tick the correct answer in the following:
Area of a sector of angle p (in degrees) of a circle with radius R is
(A) p/180 × 2πR
(B) p/180 × 2πR²
(C) p/360 × 2πR
(D) p/720 × 2πR²

Solution:

We use the concept of the area of sectors of a circle to solve the problem.

Consider, area of the sector of angle θ = θ/360° × πr², where r is the radius of the circle

Here, θ = p and r = R

Substituting the above values in the formula, we get the area of the sector = p/360° × πR²

Multiplying numerator and denominator of p/360° × πR² by 2, we get

Area of the sector = p/720° × 2πR²

Hence, D is the correct answer.

☛ Check: NCERT Solutions Class 10 Maths Chapter 12

Video Solution:

Tick the correct answer in the following: Area of a sector of angle p (in degrees) of a circle with radius R is (A) p/180 × 2πR (B) p/180 × 2πR² (C) p/360 × 2πR (D) p/720 × 2πR²

NCERT Solutions Class 10 Maths Chapter 12 Exercise 12.2 Question 14

Summary:

The area of a sector of angle p (in degrees) of a circle with radius R is (p/720°) × 2πR² which is option (D).

☛ Related Questions:

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