A bicycle training wheel has a radius of 3 inches. The bicycle wheel has a radius of 10 inches. Approximately how much smaller, in square inches, is the areaof the training whee…

Question

asked Jan 17, 2021 96.0k views

1 Answer

Spfrnd · Answer 1 · 2021-01-23T15:48:42+0000

Answer:

$285.74\text{ inch}^2$

Explanation:

GIVEN: A bicycle training wheel has a radius of
$3\text{ inch}$ . The bicycle wheel has a radius of
$10\text{ inch}$ .

TO FIND: Approximately how much smaller, in square inches, is the area of the training wheel than the area of the regular wheel.

SOLUTION:

radius of bicycle wheel
$=10\text{ inch}$

area of bicycle wheel
$=\pi r^2$

putting value,

area of bicycle wheel
=3.14*10^2

$=314\text{ inch}^2$

radius of bicycle training wheel
$=3\text{ inch}$

area of bicycle training wheel
$=\pi r^2$

putting value,

area of bicycle wheel
=3.14*3^2

$=28.26\text{ inch}^2$

difference in area of bicycle wheel and bicycle training wheel

$=\text{area of bicycle wheel}-\text{area of bicycle training wheel}$

=314-28.26

$=285.74\text{ inch}^2$

hence the training wheel is
$285.74\text{ inch}^2$ smaller than regular wheel