Question

Ellie baked a round cookie cake for her sister birthday the radius of the cookie aas 6 inches . If ellies sister ate 1 /4 of the cookie cake about how many square inches did she eat

Answer 1

28 Square inches

Explanation:

Since the cookie is round, it is in a circular shape.

Radius of the Cookie Cake, r= 6 Inches

Area of a Circle
`=\pi r^2`

Therefore, the area of the whole cookie cake
`=\pi X 6^2 =113.097 \:Square\: Inches`

Since Ellie's Sister ate 1/4 of the cookie cake,

Area of cake eaten by Ellie's Sister

`(1)/(4) X 113.097\\ =28.27`

Ellie's Sister ate approximately about 28 Square inches of cake.

Answer 2

28.3 square inches

Explanation:

In the question, we are asked to calculate the portion of the area of the cake eaten by Ellie’s sister.

To calculate this, the first thing to do is to calculate the area of the cookie cake. Now, since it’s a round cake, then it must be circular in shape.

Hence we calculate the area.

mathematically the area of a circle can be calculated using the formula;

A = pi * r^2

here our r =6 inches

Substituting this, we have

A = 22/7 * 6 * 6 = approximately 113 sq. inches

we now move on to calculate the portion ate, which is a quarter

That would be 1/4 * 113 = 28.3 sq. inches was eaten