Question 7 of 7beginner💡 UnderstandMCQ1 mark

Tick the correct answer in the following: Area of a sector of angle p (in degrees) of a circle with radius R is

Exercise: EXERCISE 11.1 | Q: 14 | (Page Page 6)
For More Understanding

Explanation

The area of a sector of angle θ (in degrees) of a circle with radius r is given by (θ/360) × π r². Here, angle = p and radius = R, so area = (p/360) × π R². Option (D) is (p/720) × 2πR² = (p/360) × πR², which matches the formula. Hence, (D) is correct.

Solution Steps

  1. Step 1: Recall the formula for area of a sector: Area = (θ/360) × π r².

  2. Step 2: Substitute θ = p and r = R: Area = (p/360) × π R².

  3. Step 3: Simplify option (D): (p/720) × 2πR² = (p/360) × πR².

  4. Step 4: Compare: Both are equal, so (D) is correct.

Previous