Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nea

Question

lisov135 [29]

2 years ago

7

Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nea

rest tenths place

Mathematics

1 answer:

Anarel [89] · Answer 1 · 2023-03-09T13:32:21+03:00

Answer:

179.3 square units

Step-by-step explanation:

The area of the figure is the sum of the areas of the parts. That is, the area is the sum of the area of the rectangle, and the area of the semicircle.

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<h3>Semicircle</h3>

The area of a circle with radius 5 is ...

A = πr²

A = π(5²) = 25π

The area of the semicircle is half that:

semicircle area = (25π)/2 = 12.5π ≈ 39.3 . . . . square units

<h3>Rectangle</h3>

The area of a rectangle with length L and width W is ...

A = LW

The width of this rectangle is the diameter of the circle, twice the radius, or 10 units.

A = (14)(10) = 140 . . . . square units

<h3>Total area</h3>

The sum of the areas of the parts is ...

total area = semicircle area + rectangle area

total area = 39.3 + 140 = 179.3 . . . . square units