Question

Find the area of the figure. Use 3.14 as π.

Answer 1

D. 94.25

Explanation:

Hey there! In order to answer this question: you need to take the area of the triangle and the area of half of a circle

The formula for the area of a triangle is: base x height x 1/2

11 x 10 x 1/2 = 55

To find the area of a circle, you have to take the radius, square it, and multiply it by 3.14

So the radius is 5 since 10 is the diameter of the circle

Now we have to square that which is 25

Multiply 25 by 3.14 which is 78.5

Now since we are dealing with a half circle and the area for the whole circle is 78.5, we divide 78.5 by 2 which is 39.25

Now you have to add those two areas and that will get your final answer

55+39.25 is 94.25

So the area for this figure is 94.25 square inches

Answer 2

Answer: D. 94.25 in²

Explanation:

To find the total area, we will break the shape up into two different parts.

[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.

Area of a circle:

A = πr²

Use 3.14 for pi:

A = (3.14)r²

Find the radius:

d / 2 = r, 10 / 2 = 5 in

Subsittue:

A = (3.14)(5)²

A = 78.5 in²

Divide by 2 since it is only half:

78.5 in² / 2 = 39.25 in²

[] The triangle is 55 in².

Area of a triangle:

A = b*h/2

A = 11 * 10 / 2

A = 110 / 2

A = 55 in²

[] Total area. We will add the two parts together.

55 in² + 39.25 in² = 94.25 in²