Question

Your friend pulls out a huge home baked pizza from the oven and tells you the area is a=625(pi)cm2. What is the diameter of this pizza

Answer 1

The diameter of the pizza= 50 cm

Explanation:

Points to remember

Area of circle = πr²

Where r is the radius of circle

It is given that, area of pizza is 625π cm²

A pizza is like a circle.

Find the radius of pizza

Area = πr²= 625π cm²

r² = 625π/π = 625

r = √625 = ±25

radius r = 25cm

To find the diameter of pizza

Diameter = 2r = 2 * 25 = 50 cm

Answer 2

Diameter = 50 cm

Explanation:

We are given that the area of a home bakes pizza is
`6 2 5 \pi cm ^ 2`.

Here, we are assuming that the pizza is circular and we know that the area of a circle is given by:
`\pi r^2`

So equating the given value to find the value of the diameter.

`\pi r^2`
`=625\pi`

`r^2=625`

`r=√(625)`

`r=25`

If the radius is 25 cm, then diameter = 25 × 2 = 50 cm