Question

In order for Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch. A. 56 in. B. 44 in. C. 28 in. D. 88 in.What figure is comprised of two rays that share a common endpoint called a vertex? A. Line Segment B. Point C. Ray D. Angle a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is needed for a button with a circumference of 9.42 centimeters? A. 1.5 centimeters B. 4 centimeters C. 6 centimeters D. 3 centimeters

Answer 1

circumference is 88in
hope it hepls

Answer 2

Answer: The answers are given below.

Step-by-step explanation:  The calculations are as follows:

(1) Given that the diameter of a circle, 2r =  28 inches.

Therefore, the circumference 'C' will be

$C=2\pi r=\dfrac{22}{7}\times\times 28=88~\textup{inches}.$

(2) The figure which is comprised of  two rays that share a common endpoint called a vertex is an angle.

Thus, (D) is the correct option.

(3) The size of the buttonhole should be equal to the diameter of the button.

Given that the circumference of the button is 9.42 cms, so we have

$2\pi r=9.42\\\\\Rightarrow 2r=\dfrac{9.42}{\pi}\\\\\Rightarrow 2r=9.42\times\dfrac{7}{22}=2.99\sim 3~\textup{inches}.$

Thus, the button hole should be of length 3 inches.

Hence answered.