A circle has a circumference of 50.24 units. What is the radius of the circle? Use 3.14 for pi and enter your answer as a decimal. units

Understand relationship: Understand the relationship between circumference and radius. The circumference (C) of a circle is given by the formula C = 2 * pi * r, where r is the radius of the circle and pi is a constant approximately equal to 3.14.Set up equation: Set up the equation to solve for the radius. Given the circumference is 50.24 units, we can set up the equation 50.24 = 2 * 3.14 * r.Solve for radius: Solve for the radius (r). Divide both sides of the equation by 2 * 3.14 to isolate r. r = 50.24 / (2 * 3.14)Perform calculation: Perform the calculation. r = 50.24 / (2 * 3.14) r = 50.24 / 6.28 r ≈ 8.00

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A circle has a circumference of 50.24 units.
What is the radius of the circle? Use 3.14 for
pi and enter your answer as a decimal.
units

A circle has a circumference of $50$ . $24$ units. $\newline$ What is the radius of the circle? $\newline$ Use $3$ . $14$ for $\pi$ and enter your answer as a decimal. $\newline$ $\square$ units

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Math Problems

Algebra 2

Find the radius or diameter of a circle

Full solution

Q. A circle has a circumference of

50

24

units.

\newline

What is the radius of the circle?

\newline

Use

3

14

for

\pi

and enter your answer as a decimal.

\newline

\square

units

Understand relationship: Understand the relationship between circumference and radius. $\newline$ The circumference $C$ of a circle is given by the formula $C = 2 \times \pi \times r$ , where $r$ is the radius of the circle and $\pi$ is a constant approximately equal to $3.14$ .
Set up equation: Set up the equation to solve for the radius. $\newline$ Given the circumference is $50.24$ units, we can set up the equation $50.24 = 2 \times 3.14 \times r$ .
Solve for radius: Solve for the radius $r$ . $\newline$ Divide both sides of the equation by $2 \times 3.14$ to isolate $r$ . $\newline$ $r = \frac{50.24}{2 \times 3.14}$
Perform calculation: Perform the calculation. $\newline$ $r = \frac{50.24}{2 \times 3.14}$ $\newline$ $r = \frac{50.24}{6.28}$ $\newline$ $r \approx 8.00$