A pizza of diameter 24 cm is cut into 8 pieces of equal area. Find the area of each piece.
1. 18π cm2
2. 16π cm2
3. 20π cm2
4. 15π cm2
1. 18π cm2
2. 16π cm2
3. 20π cm2
4. 15π cm2
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Correct Answer – Option 1 : 18π cm2
Given:
Diameter of Pizza = 24 cm
Radius of pizza = 12 cm
Concept:
When the pizza is divided into 8 parts, the central angle of 360° will also be divided into 8 equal parts forming 8 sectors of equal area.
Formula used:
Area of sector = (θ/360°) × πr2
Calculation:
Central angle of each part = 360°/8 = 45°
Area of each piece = (45°/360°) × π × 12 × 12
⇒ (1/8) × π × 144
⇒ 18π cm2
∴ Area of each piece is 18π cm2