A pizza of diameter 24 cm is cut into 8 pieces of equal area. Find the

1.	A pizza of diameter 24 cm is cut into 8 pieces of equal area. Find the area of each piece.1. 18π cm22. 16π cm23. 20π cm24. 15π cm2
Answer» 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

A pizza of diameter 24 cm is cut into 8 pieces of equal area. Find the area of each piece.1. 18π cm22. 16π cm23. 20π cm24. 15π cm2

Answer» 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

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A pizza of diameter 24 cm is cut into 8 pieces of equal area. Find the area of each piece.1. 18π cm22. 16π cm23. 20π cm24. 15π cm2

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