Find the area of a quadrant of a circle whose circumference is 44 cm.

Step-by-step solution

Idea: First find the radius from the circumference, then take a quarter of πr².

1. 2 × 227 × r = 44 ⇒ r = 44 × 744 = 7 cm.1 mark
2. Area of quadrant = 14 × 227 × 7 × 7 = 14 × 154 = 38.5 cm².1 mark

Check: 4 × 38.5 = 154 = 227 × 49 ✓.

Answer to write in the exam

Common mistakes that cost marks

• Using 44 as the radius or the diameter.
• Dividing by 2 instead of 4 (a quadrant is a quarter).

How this can come in the exam

Try one yourself

Find the area of a quadrant of a circle whose circumference is 132 cm. (Use π = 227.)

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