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ad-work [718]
3 years ago
15

What is the perimeter of a square which has the same area as a circle with circumfrence of 4π

Mathematics
1 answer:
Kruka [31]3 years ago
8 0

Answer:

Perimeter square = 8 sqrt(pi)

Step-by-step explanation:

The perimeter of a square is 4*s

The area of a circle is Area = pi * r^2

The circumference of a circle is C = 2*pi * r

C = 4 pi

4pi = 2*pi * r

r = 2

So the area of the circle is pi * r^2 = pi * 2^2 = 4pi

The square has the same area

Area = 4*pi

Square = 4*pi

s^2 = 4*pi

s = sqrt(4*pi)

s = 2*sqrt(pi)

The perimeter = 4 * 2 * sqrt(pi)

The perimeter = 8 * sqrt(pi)

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3 years ago
Three numbers add up to 210. The second number is 10 more than the first and the third number is 3 times the first. Find the num
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Answer:

I. First number, a = 40.

II. Second number, b = 50.

III. Third number, c = 120.

Step-by-step explanation:

Let the three numbers be a, b and c respectively.

Given the following data;

Translating the word problem into an algebraic equation, we have;

a + b + c = 210

b = a + 10

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Substituting the value of b and c into the equation, we have;

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To find c

c = 3a

c = 3*40

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