find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)

1 answer:

3 0

(1) circumference of a circle = 2π.R
(2) area of a circle = π.R²

Area = 452.16 m² (given), so we can calculate the radius:
452.16 = π.R²
452.16/π = R²

143.92 = R² → R =√143.92 ≈ 12 m
Having R = 12, now we can calculate the circumference :

circumference of a circle = 2π.R = 2.π.12 = 75.41 m

You might be interested in

the circle shown below is centered at the origin and contains the point (-4,-2). Which of the following is closest to the length

aniked [119]

We know the circle has its center at the origin, 0,0, and the point -4,-2 is on the circle, is just the distance from the center to a point on it, thus

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 0}}\quad ,&{{ 0}})\quad 
% (c,d)
&({{ -4}}\quad ,&{{ -2}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
r=\sqrt{(-4-0)^2+(-2-0)^2}\implies r=\sqrt{(-4)^2+(-2)^2}
\\\\\\
r=\sqrt{16+4}\implies r=\sqrt{20}\implies r=\sqrt{4\cdot 5}\implies r=\sqrt{2^2\cdot 5}
\\\\\\
r=2\sqrt{5}$

8 0

2 years ago

Read 2 more answers

In ANOP, P = 2.5 cm, n = 2.3 cm and 20=71º. Find the area of ANOP, to the nearest

Brut [27]

17Answer:

Step-by-step explanation:

5 0

2 years ago

A circular dinner plate has a radius of 20 centimeters. Find a. the circumference of the plate and b. the area of the plate. Use

gayaneshka [121]

Answer:

The area is approximately 1256.64 The circumference is approximately 125.66

Step-by-step explanation:

This is because to find the area of a circle you square the radius and multiply by Pi. To find circumference, you can multiply the Diameter (twice radius) by Pi.

7 0

2 years ago

Read 2 more answers

What is the value of x if the quadrilateral is a rhombus? please help

stiks02 [169]

In a rhombus, all sides are equal:

5x = 15
and x = 15/5 = 3

(you could have done the same thing with the other side: 5x = 4x +3)

3 0

3 years ago

Read 2 more answers

Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much wi

Anna [14]

Answer:

$25.20

Step-by-step explanation:

First, take the 50% off the sales price:

($48)*(-0.50) = -$24.

($48 - $24) = $24 sale price.

Tax on $24 is ($24)*(0.05) = $1.20

Add the price and sales tax:

$24 + $1.20 = $25.20

5 0

2 years ago