Advanced Mathematics Primary 6 Circles

A quarter circle has a radius of 14 cm. Find the perimeter of the quarter circle. (Take π = 22/7.)

A 22 cm
B 36 cm
C 50 cm
D 78 cm
Show Worked Solution

Worked Solution

Step 1: A quarter circle's perimeter = curved arc + 2 straight radii. Step 2: Curved arc = ¼ × circumference = ¼ × 2πr = ¼ × 2 × 22/7 × 14 = ½ × 22/7 × 14 = 22 cm. Step 3: Two straight radii = 2 × 14 = 28 cm. Step 4: Perimeter = 22 + 28 = 50 cm. Final: 50 cm. Answer: 50 cm

Correct answer: 50 cm

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