The diameter of a semicircle is 22.8 millimeters. What is the semicircle's area?d=22.8 mmUse 𝜋 ≈ 3.14 and round your answer to the nearest hundredth. square millimeters
Question
The diameter of a semicircle is 22.8 millimeters. What is the semicircle's area?d=22.8 mmUse 𝜋 ≈ 3.14 and round your answer to the nearest hundredth. square millimeters
Solution
To find the area of a semicircle, we first need to find the radius. The radius (r) is half of the diameter (d), so r = d/2 = 22.8 mm / 2 = 11.4 mm.
The formula for the area (A) of a full circle is A = πr². Since we're dealing with a semicircle (half a circle), we'll use half of this formula: A = 1/2 * πr².
Substituting the value of r into the formula gives us A = 1/2 * π * (11.4 mm)² = 1/2 * 3.14 * 129.96 mm² = 204.1 mm².
So, the area of the semicircle is approximately 204.1 square millimeters.
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