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Mathematics

1 answer:

astra-53 [7]3 years ago

8 0

Answer:

Step-by-step explanation:

We are given a circle with a partially shaded region. First, we need to determine the area of the whole circle. To do this, we need the measurement of the radius of the circle:

Use the Pythagorean theorem to solve for the other leg of the right triangle inside the circle:

5^2 = 3^2 + x^2

x = 4

The radius is 4 + 1 cm = 5 cm

So the area of the circle is A = pi*r^2

A = 3.14 * (5)^2

A = 25pi cm^2

To solve for the area of the shaded region:

Ashaded = Acircle - Atriangles

we need to solve for the area of the triangles:

A = 1/2 *b*h

A = 1/2 *6 * 5

A = 15 cm^2

Atriangles = 2 * 15

Atriangles = 30 cm^2

Ashaded = 25pi - 30

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a radio station can broadcasts in all directions to a distance of 60 mi. what is the area in which the station can be heard

zaharov [31]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Find the area of the circle if the square has an area of 900 in2. give your answer in terms of.

svp [43]

First find the square root of 900 to get one side of the square, which is 30 inches.
Formula for area of a circle: pi times the radius(squared)
The radius is 15 because one side of the square equals the diameter of the circle. 15 squared is 225.
3.14x225=706.5 inches squared

I hope this helps, because I did not have a diagram of the problem, but this should be the answer if the circle is inscribed in the square.

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4 years ago

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Leya [2.2K]

The expression we have is: