Question

A pie is cut into 6 pieces if the diameter of the pie is 10 inches what is the approximate arc length of one slice of pie?

Pie = symbol
A- 10pie / 3
B- pie
C- 5pie / 6
D- 5pie / 3

Answer 1

The arc length of one slice of a 10-inch diameter pie cut into 6 pieces is approximately 5π/3 inches, which is answer choice D.

Step-by-step explanation:

To calculate the arc length of one slice of a pie when the pie is cut into 6 pieces, and knowing the diameter is 10 inches, you need to find the circumference of the whole pie and then calculate the arc length for one piece.

The formula for the circumference (C) of a circle is C = πd, where π is Pi (approximately 3.14159), and d is the diameter. So, for a 10-inch diameter pie, the circumference would be C = π × 10 inches.

Since the pie is cut into six equal pieces, each piece represents 1/6th of the full circle. So, the arc length for one piece would be 1/6th of the total circumference. Therefore, we calculate the arc length of one slice as follows:

1/6 × (π × 10 inches) = π × 10/6 inches = π × 5/3 inches or approximately 5π/3 inches, which corresponds to answer choice D.

Answer 2

We are assuming the 6 pieces are equal.

Let the radius be R=5 in.

The circumference of the pie is given by C=2πR=2π*5 (in) = 10π (in)

The pie is cut into 6 pieces means that the circumference is also divided into 6 arcs of equal length = 10π/6 (in)= 5π/3 (in)


Answer: D- 5pie / 3