Question

A greeting card is made up of three semicircles. Sarah wants to decorate the distance around the card with a ribbon, how much ribbon does Sarah need? round your answer to the nearest inch. ​

Answer 1

Answer: 65 inches.

Step-by-step explanation:

The circumference of a circle can be calculated with the following formula:

$C=\pi d$

Where "d" is the diameterof the circle.

In this case, the small semicircles are equal, then:

$d_1=d_2=5.2\ in$

Then, their circumference are:

$C_1=C_2=\pi* 5.2\ in=16.33\ in$

 Oberve that the diameter of the large semicircle is the sum of the diameters of  the small semicircles:

$d_3=5.2\ in+5.2\ in\\\\d_3=10.4\ in$

Then:

$C_3=\pi *10.4\ in\\\\C_2=32.67\ in$

Therefore, the amount of ribbon Sarah needs is:

$ribbon=2(16.33\ in)+32.67\\\\ribbon\approx65\ in$