Question

Find the area of the semicircle. Round your answer to the nearest hundredth.

Answer 1

Answer:

$A \approx 1.57\text{ ft}^2$

Step-by-step explanation:

The area of a circle is given by the formula:

$A_\circ=\pi r^2$

where:

• $r$ = radius
• $\pi \approx$ 3.14159
• $A$ = area

We are shown a semicircle, which is half of a circle. Thus, its area is given by:

$A = \dfrac{1}{2}\pi r^2$

We are given the semicircle's diameter, which is double its radius.

Hence, we can solve for radius:

$2r = d$

$r = \dfrac{1}{2}d$

$r = \dfrac{1}{2}(2\text{ ft})$

$r = 1\text{ ft}$

Plugging this into the area formula, we get:

$A = \dfrac{1}{2}\pi(1\text{ ft})^2$

$\boxed{A \approx 1.57\text{ ft}^2}$

Answer 2

Answer:

1.57 ft^2

Step-by-step explanation:

the area of a circle if found by πr^2, where π is approximately equal to 3.14, and r is the radius of the circle.

in this case, we are given that the diameter of the circle is 2, and since radius is always half the diameter, the radius is 1.

π*(1^2) = π

since we only want to find the area of this semicircle, we must divide π by 2 because it is half

π/2

= about 1.57