Question

John wants to estimate the value of π. He measures the circumference of a circular pizza as 105 cm and its diameter as 34 cm, both correct to the nearest centimeter.

Calculate the lower bound of his estimate of the value of π.

A) 3.088
B) 3.141
C) 3.215
D) 3.000

Answer 1

To calculate the lower bound of John's estimate of the value of π, use the formula C = 2πr and solve for π using the measured circumference and diameter of the pizza.

Step-by-step explanation:

To calculate the lower bound of John's estimate of the value of π, we need to compare the measured circumference and diameter of the pizza. The formula to calculate the circumference of a circle is C = 2πr, where r is the radius of the circle. In this case, the measured circumference is 105 cm, so we have 105 = 2π(17). Solving for π, we find that the lower bound of John's estimate is approximately 3.088.