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stellarik [79]
2 years ago
9

50 points!!!!

Mathematics
2 answers:
almond37 [142]2 years ago
8 0

Answer:

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

kotykmax [81]2 years ago
6 0

Answer:

The cakes radius is 5 inches.

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 \frac{1}{6}(πr²)

Steps:

→ \frac{1}{6}πr² = 13

→ πr² = 13(6)

→ πr² = 78

→ r² = \frac{78}{\pi }

→ r = \sqrt{\frac{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.

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