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3 years ago

An architect increases the radius of a circle window by 20 percent. By what percent

Mathematics

2 answers:

Butoxors [25]3 years ago

7 0

Answer:

Step-by-step explanation:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

If we increase the radius by 20%, the new radius will be:

R´ = R + 0.20*R = 1.20*R

The new area will be:

A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2

= 1.44*pi*R^2

And pi*R^2 = A, the original area, then_

A´ = 1.44*A = A + 0.44*A

This means that the percentage in which the area increased is:

0.44*100% = 44%

ale4655 [162]3 years ago

6 0

Answer: 44%

Step-by-step explanation:

For a circle of radius R, the area is written as:

A = pi*R^2

Where pi = 3.14

If we increase the radius by 20%, the new radius will be:

R´ = R + 0.20*R = 1.20*R

The new area will be:

A´ = pi*(1.20*R)^2 = (1.20)^2*pi*R^2

= 1.44*pi*R^2

And pi*R^2 = A, the original area, then_

A´ = 1.44*A = A + 0.44*A

This means that the percentage in which the area increased is:

0.44*100% = 44%

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Read 2 more answers

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AfilCa [17]

Answer:

GIVE BRAINLIEST PLZ

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x = -15

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1) Four times sum of a number and 10

4(x + 10)

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3 years ago

A circle has a diameter of 100 cm. which of these is closest to its area? show or explain your reasoning

patriot [66]

Answer:31r

Step-by-step explanation:

Formula=πd

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