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.
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.
Solution
To find the area of a semicircle, you first need to find the radius. The radius (r) is half of the diameter (d), so r = d/2.
Given that the diameter (d) is 22.8 mm, the radius (r) would be 22.8 mm / 2 = 11.4 mm.
The formula for the area (A) of a full circle is 𝜋r². However, since we are looking for the area of a semicircle (which is half of a full circle), the formula becomes 1/2 * 𝜋r².
Substituting the value of r into the formula gives us:
A = 1/2 * 𝜋 * (11.4 mm)²
Using 𝜋 ≈ 3.14, the calculation becomes:
A = 1/2 * 3.14 * (11.4 mm)² = 1/2 * 3.14 * 129.96 mm² = 204.08 mm²
So, the area of the semicircle is approximately 204.08 mm², rounded to the nearest hundredth.
Similar Questions
The diameter of a circle is 22 millimetres. What is the circle's area?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
The diameter of a semicircle is 5.4 kilometers. What is the semicircle's area?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
The diameter of a semicircle is 32 miles. What is the semicircle's area?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth. square milesSubmit
The diameter of a semicircle is 8 miles. What is the semicircle's area?d=8 miUse 𝜋 ≈ 3.14 and round your answer to the nearest hundredth. square milesSubmit
The diameter of a semicircle is 15.2 centimeters. What is the semicircle's perimeter?Use 𝜋 ≈ 3.14 and round your answer to the nearest hundredth.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.