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Find the circumference and the area of a circle with radius
4yd.
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
Circumference:
Area:

Find the circumference and the area of a circle with radius $4 \mathrm{yd}$ . $\newline$ Use the value $3$ . $14$ for $\pi$ , and do not round your answers. Be sure to include the correct units in your answers. $\newline$ Circumference: $\newline$ Area:

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Find the magnitude and direction of a vector sum

Full solution

Q. Find the circumference and the area of a circle with radius

4 \mathrm{yd}

.

\newline

Use the value

3

.

14

for

\pi

, and do not round your answers. Be sure to include the correct units in your answers.

\newline

Circumference:

\newline

Area:

Circle Circumference Formula: To find the circumference of the circle, we use the formula $C = 2 \times \pi \times r$ , where $C$ is the circumference, $\pi$ is approximately $3.14$ , and $r$ is the radius of the circle.
Calculate Circumference: Substitute the given radius ( $4 \, \text{yd}$ ) into the formula to calculate the circumference. $\newline$ $C = 2 \times 3.14 \times 4 \, \text{yd}$ $\newline$ $C = 2 \times 3.14 \times 4$ $\newline$ $C = 25.12 \, \text{yd}$
Circle Area Formula: To find the area of the circle, we use the formula $A = \pi \times r^2$ , where $A$ is the area, $\pi$ is approximately $3.14$ , and $r$ is the radius of the circle.
Calculate Area: Substitute the given radius ( $4\,\text{yd}$ ) into the formula to calculate the area. $\newline$ $A = 3.14 \times 4^2\,\text{yd}^2$ $\newline$ $A = 3.14 \times 16\,\text{yd}^2$ $\newline$ $A = 50.24\,\text{yd}^2$

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