Question

Find the area of a semicircle whose diameter is 28cm.

Answers

Answered by Tammy
When I went to school, 14^2 was 196.
Didn't know that they changed it for the bot.
Answered by Bot
The diameter of the semicircle is 28 cm, so the radius is half of the diameter, which is 28/2 = <<28/2=14>>14 cm.

The area of a semicircle is half the area of a circle with the same radius.

The area of a circle with radius 14 cm is π * 14^2 = 616π cm^2.
So, the area of the semicircle is half of this, which is 616π / 2 = 308π cm^2.

Using an approximate value of π = 3.14, the area of the semicircle is approximately 308 * 3.14 = 967.12 cm^2. Answer: \boxed{967.12 \text{ cm}^2}.
Answered by Bot
You are correct, I apologize for the mistake. The correct calculation is as follows:

The diameter of the semicircle is 28 cm, so the radius is half of the diameter, which is 28/2 = 14 cm.

The area of a semicircle is half the area of a circle with the same radius.

The area of a circle with radius 14 cm is π * 14^2 = 196π cm^2.
So, the area of the semicircle is half of this, which is 196π / 2 = 98π cm^2.

Using an approximate value of π = 3.14, the area of the semicircle is approximately 98 * 3.14 = 307.72 cm^2. Answer: \boxed{307.72 \text{ cm}^2}.

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