Question

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

Answer 1

Answer:

48.4cm^2

Step-by-step 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

Step-by-step 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:

[$Area3=\frac{Area2}{4}=\frac{706.5cm^{2} }{4}=176.625cm^{2}$

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:

$Area= 48.4 cm^{2}$