Multiple choice

The area of a sector of a circle is 308 cm2, with the central angle measuring 45∘. The radius of the circle is:

  1. 14 cm

  2. 21 cm

  3. 7 cm

  4. 28 cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Sector area formula: A = (θ/360) × πr². Given A=308 cm², θ=45°. So 308 = (45/360) × πr² = (1/8) × πr². πr² = 2444, r² = 784, r = 28 cm. Option D correct. Option A (14cm) and C (7cm) are too small, B (21cm) doesn't satisfy the equation.

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