Multiple choice

A chord of a circle of radius 14 cm subtends an angle of 90° at the centre of the circle. Find the area of the corresponding minor sector.

  1. 22 cm2

  2. 308 cm2

  3. 154 cm2

  4. 462 cm2
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Area of sector = (theta / 360) * pi * r^2. Area = (90 / 360) * (22/7) * 14 * 14 = 0.25 * 22 * 2 * 14 = 154 cm^2.

AI explanation

The area of a sector of a circle is calculated using the formula theta divided by 360, multiplied by pi multiplied by the radius squared. For an angle of 90 degrees and radius 14 cm, the calculation is 90 divided by 360 multiplied by 22 divided by 7 multiplied by 14 multiplied by 14. Simplifying the terms gives a total area of 154 sq. cm.

Keep practicing — related questions