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You order a pizza with a 12” diameter. What is the area of the pizza?

What is the radius of a pizza that is 25% larger??

Pls help

User Tommy May
by
6.9k points

2 Answers

2 votes

Answer:

1. The formula for the area of a circle is given by A = πr^2, where r is the radius of the circle. To find the area of the 12" pizza, we first need to find the radius:

r = 12 / 2 = 6 inches

The area of the pizza is then:

A = πr^2 = π * 6^2 = 36π square inches

2. To find the radius of a pizza that is 25% larger, we can first find the amount by which the radius will increase:

increase = 6 * 0.25 = 1.5 inches

The new radius will then be:

new_r = 6 + 1.5 = 7.5 inches.

Explanation:

User Alex Siman
by
7.7k points
3 votes

Answer:

113.1, 8

The equation to find the area of a circle is:

  • Area = π (d/2)^2

Now we can input 12 into the equation:

  • Area = π (12/2)^2
  • Area = 113.1

To find the radius of a pizza that is %25 larger, we can use this equation:

  • Radius × 1.25 = new radius

Why do we multiply by 1.25?

Well, that's a good question! If we were to multiply by 0.25, the radius would get smaller, instead of bigger. We add the 1.0 because we have to add the original radius, not just the added length.

Fitting the radius into the equation:

  • 6 × 1.25 = 8

Therefore, the area of the pizza is 113.1, and the radius of a pizza that is %25 larger is 8.

User Phillip Roux
by
7.0k points