A semicircle has a diameter of 14 cm. What is its area? (Use π ≈ 3.14)

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Question: A semicircle has a diameter of 14 cm. What is its area? (Use π ≈ 3.14)

Options:

Correct Answer: 76.96 cm²

Solution:

Area of a semicircle = (1/2) × πr². Radius = 7 cm. Area = (1/2) × 3.14 × (7)² = 76.96 cm².

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)

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.

Area of a Semicircle – The area of a semicircle is calculated using the formula (1/2) × πr², where r is the radius.
Radius Calculation – The radius is half of the diameter, so for a diameter of 14 cm, the radius is 7 cm.
Use of π – Understanding how to apply the approximate value of π in calculations.