Multiple choice

The area of a sector of a circle of radius 4 cm is 25.6 cm2. What is the radian measure of the arc of the sector?

  1. 2.3

  2. 3.2

  3. 3.3

  4. 3.4
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Area of sector = (1/2)×r²×θ, where θ is in radians. 25.6 = (1/2)×16×θ, so θ = 25.6/8 = 3.2 radians. Note: This gives an angle greater than π, suggesting the sector area value may be incorrect.

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