Question

A circular piece of glass has a radius of 2.1 m. The glass sells for $7.10 per square meter. What is the total cost of the circular piece of glass?

Answer 1

The radius and cost per square meter of a circular piece of glass is given. It is required to find the total cost of the circular piece of glass.

To do this, you need to find the area of the piece of glass, and then multiply it by the cost per square meter in order to find the total cost.

Since the piece of glass is circular, use the area of a circle formula to calculate its area.

Recall the formula for the Area of a Circle of radius r:

`A=r^2\pi`

Substitute r=2.1 and π=22/7 into the formula:

`A=(2.1)^2*(22)/(7)=13.86\text{ square meters}`

Multiply this area by the cost per square meter to find the total cost:

`13.86*7.10=98.406`

The total cost of the circular piece of glass is $98.406.