Question

PLEASE HELP ASAP, 40 POINTS!!!

Answer 1

Explanation:

answer is 4pi

see its given that perimeter of square is 16 and jk is the side of the square and diameter of the circle and half of diameter is radius

we need to find the side lenght

let side of square be a

perimeter is 4a

therefore, 4a=16

a=4

there 4 is the diameter of the circle

radius is 2

circumference is 2
`\pi \\`r

there 2
`\pi`(2)

4
`\pi`

Answer 2

B. 4π

Explanation:

The formula for the perimeter of a square is P = 4s, where s is the side length.

Given the square has a perimeter of 16 cm, then its side length (s) is:

`\begin{aligned}\sf Perimeter&=16\; \sf cm\\\\4s&=16\; \sf cm\\\\(4s)/(4)&=(16\; \sf cm)/(4)\\\\s&=4\; \sf cm\end{aligned}`

Therefore, the side length of the square is 4 cm.

From observation of the given figure, the diameter (d) of the circle is equal to the side length of the square. Therefore, d = 4 cm.

The formula for the circumference of a circle is C = πd, where d is the diameter. Therefore, as the diameter of the circle is 4 cm, the circumference of the circle is:

`\large\boxed{\textsf{Circumference}=4\pi\; \sf cm}`