Question

A new cookie cake company is offering a

special deal: order one cookie cake at the
regular price, and get a second cookie cake
with a diameter twice the length of the first for
the same price. Desmond orders a cookie cake
with an 8-inch diameter. What is the area of the
second cookie cake Desmond receives?
Usen 3.14.
F 50.24 in?
G 100,48 in.2
H 200.96 in?
J 804 in.
2

Answer 1

The area of the second cookie cake is 201.6 square inches, calculated using the formula A = πr² and a radius of 8 inches.

Step-by-step explanation:

To calculate the area of the second cookie cake that Desmond receives, we need to understand the concept of area of a circle. The area (A) of a circle is given by the formula A = πr², where π (pi) is approximately 3.14 and r is the radius of the circle. The radius is half of the diameter, so for the first cookie cake with an 8-inch diameter, the radius is 4 inches. The second cookie cake has a diameter that is twice as long, meaning 16 inches. Thus, the radius of the second cookie cake is 8 inches.

The area of the second cookie cake is calculated as follows:

A = πr²

A = 3.14 × (8 inches)²

A = 3.14 × 64 inches²

A = 201.6 inches²

Therefore, the area of the second cookie cake that Desmond receives is 201.6 square inches, which matches closest to option H.

Answer 2

200.96in^2

Step-by-step explanation:

If the 1st cookie cake is 8" for its diameter and the 2nd cookie cake will have twice the length diameter of the 1st cookie cake .You will do 2 × 8 to get the diameter of the 2nd cookie cake.

First cookie cake diameter is 8".

Second cookie cake's diameter is 16".

Since we need the radius to find the area of the 2nd cookie cake we're going to do 16 / 2 which equals 8 so 8 is the radius.

A=(pi)r^2

A=(pi)8^2 *to the 2nd power means times by the same number

A=(pi)64

A= (3.14)(64)

A=200.96

=200.96^2

pi= 3.14 *for this problem