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A semicircle has a diameter of 14 cm. What is its area? (Use π ≈ 3.14)
A semicircle has a diameter of 14 cm. What is its area? (Use π ≈ 3.14)
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Practice Questions
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Q1
A semicircle has a diameter of 14 cm. What is its area? (Use π ≈ 3.14)
76.96 cm²
48.96 cm²
38.48 cm²
28.96 cm²
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Area of a semicircle = (1/2) × πr². Radius = 7 cm. Area = (1/2) × 3.14 × (7)² = 76.96 cm².
Questions & Step-by-step Solutions
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Q
Q: A semicircle has a diameter of 14 cm. What is its area? (Use π ≈ 3.14)
Solution:
Area of a semicircle = (1/2) × πr². Radius = 7 cm. Area = (1/2) × 3.14 × (7)² = 76.96 cm².
Steps: 7
Show Steps
Step 1: Identify the diameter of the semicircle, which is given as 14 cm.
Step 2: Calculate the radius of the semicircle. The radius is half of the diameter, so divide 14 cm by 2. This gives you a radius of 7 cm.
Step 3: Use the formula for the area of a semicircle, which is (1/2) × π × r².
Step 4: Substitute the value of π (approximately 3.14) and the radius (7 cm) into the formula. This gives you (1/2) × 3.14 × (7)².
Step 5: Calculate (7)², which is 49.
Step 6: Now multiply 3.14 by 49. This gives you 153.86.
Step 7: Finally, multiply 153.86 by (1/2) to find the area. This gives you 76.93 cm².
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