Question

Dude plz help

A circle has an area of 25pi Another circle has a diameter 5 times the first. What is the diameter of 2nd circle

Answer 1

the Diameter of second circle is 50

Explanation:

Area of first circle = 25 π

Diameter of first circle = d

Diameter of second circle= 5(Diameter of first circle) (because Another circle has a diameter 5 times the first)

We need to find diameter of 2nd circle.

First we find diameter of first circle.

The formula for area of circle is:
`Area=\pi r^2`

We also know that:
`Diameter = 2r`

First we will find radius and using diameter formula we can find diameter of the circle.

`Area=\pi r^2\\25\pi =\pi r^2\\r^2=(25\pi)/(\pi)\\r^2=25\\Taking\:square\:root\:on\:both\:sides\\√(r^2)=√(25)\\r=5`

So, radius of first circle is r = 5

Now, finding diameter of first circle:

`Diameter = 2r\\Diameter= 2(5)\\Diameter= 10`

So, Diameter of first circle = 10

Now, we know that diameter of second circle is 5 times the first

So, Diameter of second circle = 5(Diameter of first circle)

Diameter of second circle = 5(10)

Diameter of second circle = 50

So, the Diameter of second circle is 50