Question

50 points!!!!

Type the correct answer in the box use numerals instead of words
Rebecca Hut a circular cake into six slices of equal size each cake slice has an area of 13 in.² what is the radius of Rebecca‘s cake to the nearest whole inch
The cakes radius is ______ inches

Answer 1

The cakes radius is 5 inches.

Step-by-step explanation:

• cake has a circular area.

• Therefore we will use, area of circle: πr²

• Here given the cake is cut in six equal size.

• The area of the slice will be
  `(1)/(6)`(πr²)

Steps:

→
`(1)/(6)`πr² = 13

→ πr² = 13(6)

→ πr² = 78

→ r² =
`(78)/(\pi )`

→ r =
`\sqrt{(78)/(\pi )}`

→ r = 4.982787485

→ r = 5

Therefore the cake has a radius of 5 inches. Do not misunderstand that we are taking slice radius, its the radius of the cake all along.

Answer 2

5 inches

Step-by-step explanation:

Area of the cake:

• 1 slice = 13 in²
• 6 slices = 13 in² * 6 = 78 in²

Area circle: πr²

Solve for r:

• 78 = πr²
• r² ≈ 24.84
• r ≈ 5

-Chetan K