Question

An asteroid hit the earth and created a huge round crater. Scientists measured the distance around the crater as 78.5 miles. What is the diameter of the crater?

Answer 1

Answer: 25 miles

Step-by-step explanation:

Distance around crater = circumference of circle

78.5 = 2*π*r = π*d

78.5/π = d

d = 25

Wherein d is diameter which is twice the radius (r).

Answer 2

Given,

The distance around the crater = 78.5 miles.

To find,

Diameter of the crater.

Solution,

The total distance around a circular shape or a circle is called the circumference of the circle. It is given by the following formula.

$C=2\pi r$     ...(1)

Since $2r = d$, we can also say that,

$C=\pi d$     ...(2)

Where,

C = circumference,

r = radius, and,

d = diameter.

So here, it is given that the distance around the huge round crater is 78.5 miles.

⇒ C = 78.5 miles.

Substituting this value in equation (2), we get,

$78.5 = \pi d$

Rearranging,

$d=\frac{78.5}{\pi}$

⇒ $d = \frac{78.5}{3.14}$

⇒ d = 25 miles.

Therefore, the diameter of the crater is 25 miles.