Question

Find the area of the yellow region. Round to the nearest tenth.

Answer 1

48.4cm^2

Explanation:

first find the area of the entire square

15(15)=225

find the area of a circle with radius of 15 then divide by 4 since it is only 1/4 of the circle

15^2(3.14)=706.5

706.5/4=176.625

subtract the 1/4 circle from the square

225-176.625=48.375

round to the nearest tenth

48.4

Answer 2

Answer: 48.4 cm²

Explanation:

First, you calculate the area of the whole square, which is A=side²:

`Area1=15cm*15cm=225cm^(2)`

Then you calculate the area of the circle, which is A=
`\pi r^(2)`

`Area2=\pi *(15cm)^(2) =706.5cm^(2)`

In this case, we don't need the whole circle but only 1/4 of it, so the area we need is:

[
`Area3=(Area2)/(4)=(706.5cm^(2) )/(4)=176.625cm^(2)`

Finally, the area in yellow would be the area of the square minus the area of the 1/4 of circle:

`Area=Area1-Area3=225cm^(2)-176.625cm^(2)=48.375cm^(2) \\`

Rounding to the nearest tenth:

`Area= 48.4 cm^(2)`