The radius of a semicircle is 17 kilometers. What is the semicircle's area?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Question
The radius of a semicircle is 17 kilometers. What is the semicircle's area?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Solution
The area of a semicircle is calculated using the formula: Area = 1/2 * π * r²
Step 1: Substitute the given radius (r = 17 km) into the formula.
Area = 1/2 * π * (17 km)²
Step 2: Square the radius.
Area = 1/2 * π * 289 km²
Step 3: Multiply the squared radius by π (approximately 3.14).
Area = 1/2 * 3.14 * 289 km²
Step 4: Multiply the result by 1/2 to get the area of the semicircle.
Area = 0.5 * 3.14 * 289 km²
Step 5: Calculate the final result.
Area ≈ 454.02 km²
So, the area of the semicircle is approximately 454.02 square kilometers.
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