Question

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle could represent the base of the vase? Use 3.14 for Pi. Circle C is shown. Line segment A C is a radius with length 6 centimeters. Circle C is shown. Line segment A C is a radius with length 7 centimeters. Circle C is shown. Line segment A C is a radius with length 8 centimeters. Circle C is shown. Line segment A C is a radius with length 9 centimeters.

Answer 1

C

Step-by-step explanation:right on test

Answer 2

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Explanation:

Given

`Minimum\ Area = 135cm^2`

`Maximum\ Area = 155cm^2`

`\pi = 3.14`

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

`Area = \pi r^2`

Where

`r = radius`

`a.\ r = 6cm`

The area is calculated as thus:

`Area = \pi r^2`

`Area = 3.14 * (6cm)^2`

`Area = 3.14 * 36cm^2`

`Area = 114.04cm^2`

`b.\ r = 7cm`

The area is calculated as thus:

`Area = \pi r^2`

`Area = 3.14 * (7cm)^2`

`Area = 3.14 * 49cm^2`

`Area = 153.86cm^2`

`c.\ r = 8cm`

The area is calculated as thus:

`Area = \pi r^2`

`Area = 3.14 * (8cm)^2`

`Area = 3.14 * 64cm^2`

`Area = 200.96cm^2`

`d.\ r = 9cm`

The area is calculated as thus:

`Area = \pi r^2`

`Area = 3.14 * (9cm)^2`

`Area = 3.14 * 81cm^2`

`Area = 254.34cm^2`

From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2