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 [tex]\frac{1}{6}[/tex](πr²)
Steps:
→ [tex]\frac{1}{6}[/tex]πr² = 13
→ πr² = 13(6)
→ πr² = 78
→ r² = [tex]\frac{78}{\pi }[/tex]
→ r = [tex]\sqrt{\frac{78}{\pi }}[/tex]
→ 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.
