Πr2/2 for a half circle

Half circle: 1.5 in

Answer:

3.5 in²

Step-by-step explanation:

Given:

Radius (r) = 1.5 in.

Formula for area of half circle = (πr²)/2

Required:

Area of the half circle

Solution:

Plug in the values into the formula for area of half circle.

Thus:

Area = (π × 1.5²)2

= 7.06858347/2

Area = 3.5 in² (nearest tenth)

Final answer:

The area of a half circle with radius 1.5 inches is calculated using the formula πr2/2, which gives approximately 3.53429 square inches.

Explanation:

The formula given - πr2/2 - is the correct formula for calculating the area of a half circle. In mathematics, the area of a full circle is calculated using the formula πr2. Since a half circle is simply half of a full circle, you just multiply that result by 1/2 (or divide it by 2), hence πr2/2.

The question states the radius (r) is 1.5 inches. To solve for the area of the half circle, you can simply substitute this value into the formula like so: π * (1.5)2 / 2.

First, square the radius: 1.5*1.5 = 2.25. Multiply by π (roughly 3.1416): 2.25 * π = 7.06858. Finally, divide by 2: 7.06858 / 2 = 3.53429 square inches.

Learn more about Half Circle Area here:

brainly.com/question/14440849

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