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The diameter of a cake is 12 centimeters, and the area of one slice of cake is 4\pi\ cm.^24π cm. ​2 ​​ . In terms of \piπ, how many full slices can you cut out of the cake?

User Samwu
by
4.5k points

2 Answers

10 votes

Answer:

9 full slices

Explanation:

User MalsR
by
5.2k points
9 votes

Answer:

Total number of slices = 9 slices

Explanation:

Given:

Diameter of a cake = 12 cm

Area of one slice = 4π cm²

Find:

Total number of slices

Computation:

Radius of cake = 12 / 2 = 6 cm

Area of circle = πr²

Area of circle = π(6)²

Area of circle = 36π cm²

Total number of slices = Area of circle / Area of one slice

Total number of slices = 36π / 4π

Total number of slices = 9 slices

User Alan Valejo
by
4.9k points