Question

Rebecca cuts a circular cake into 6 slices of equal size. each cake slice has an area of 13 square inches. what is the radius of rebecca's cake, to the nearest whole inch? (the cake's radius is inches.)

Answer 1

The radius of Rebecca's cake is approximately 2 inches.

Step-by-step explanation:

To find the radius of Rebecca's cake, we need to use the formula for the area of a circle. The formula is A = πr², where A is the area and r is the radius. We know that each cake slice has an area of 13 square inches, so we can set up the equation 13 = πr².

Next, we solve for r by dividing both sides of the equation by π and then taking the square root of both sides. This gives us r = √(13/π).

Finally, we can approximate the value of r by substituting the approximate value of π, which is 3.14. Evaluating the expression, we get r ≈ √(13/3.14) ≈ √4.138 ≈ 2.04 inches.