Question

The circumference of a pancake is 16 inches. If we multiply the radius of the pancake by 3, what will be the circumference of the new pancake formed?

Answer 1

To find the circumference of the new pancake formed when we multiply the radius by 3, we need to follow these steps:

1. Determine the original radius: The circumference of a circle is calculated using the formula C = 2πr, where C is the circumference and r is the radius. In this case, the given circumference is 16 inches. So, we can rearrange the formula to solve for the radius:

C = 2πr

16 = 2πr

r = 16 / (2π)

2. Multiply the original radius by 3 to get the new radius:

New radius = 3 * (16 / (2π))

New radius = 48 / (2π)

3. Calculate the circumference of the new pancake using the new radius:

New circumference = 2π * New radius

New circumference = 2π * (48 / (2π))

New circumference = 48 inches

Therefore, the circumference of the new pancake formed by multiplying the radius by 3 will be 48 inches.

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Answer 2

To find the circumference of the new pancake, multiply the radius of the original pancake by 3. Let's say the radius of the original pancake is 'r' inches. If we multiply the radius by 3, the new radius would be 3r inches. Therefore, the circumference of the new pancake would be 6πr inches.

Step-by-step explanation:

To find the circumference of the new pancake, we need to multiply the radius of the original pancake by 3. Let's say the radius of the original pancake is 'r' inches. So, the circumference of the original pancake is 2πr inches. If we multiply the radius by 3, the new radius would be 3r inches. Therefore, the circumference of the new pancake would be 2π(3r) inches, which simplifies to 6πr inches.

Since we know that the circumference of the original pancake is 16 inches, we can set up an equation to find the value of 'r':

2πr = 16

Dividing both sides of the equation by 2π, we get:

r = 16 / (2π)

Plugging this value of 'r' into the equation for the circumference of the new pancake, we have:

Circumference of the new pancake = 6π(16 / (2π)) = 6 * 16 = 96 inches