Question

A 3cm x 2cm rectangle sits inside a circle with a radius of 4cm

Answer 1

The area of the shaded region is 44.24\ cm^{2}44.24 cm2

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

step 1

Find the area of circle

The area of the circle is equal to

A=\pi r^{2}A=πr2

we have

r=4\ cmr=4 cm

substitute

A=\pi (4)^{2}A=π(4)2

A=16\pi\ cm^{2}A=16π cm2

step 2

Find the area of rectangle

The area of rectangle is equal to

A=(3)(2)=6\ cm^{2}A=(3)(2)=6 cm2

step 3

Find the difference

16\pi\ cm^{2}-6\ cm^{2}16π cm2−6 cm2

assume

\pi=3.14π=3.14

16(3.14)\ cm^{2}-6\ cm^{2}=44.24\ cm^{2}16(3.14) cm2−6 cm2=44.24 cm2

Answer 2

Answer:

44,26cm²

Step-by-step explanation:

First find the area of the whole circle using the formula

$a = \pi \times {r}^{2}$

a = 3,14 × 4²

= 3,14 × 16

= 50,24cm²

Find the area of the rectangle

r = bh

r = 3 × 2

= 6

Then subtract the area of circle and rectangle

50,24cm² - 6cm² =44,26cm²