Question

please solve this question step by step.​

Answer 1

Answer:

(a) Total area of 4 quadrants is $314cm^2$

(b) Area of shaded region is $86cm^2$

(c) Perimeter of shaded region is 62.8 cm

Step-by-step explanation:

(a) The area of a circle with radius r is $\pi r^{2}$  

Therefore, area of a quadrant will be $\frac{\pi r^2}{4}$

The radius of quadrant is given as 10 cm.

Area of each quadrant is

$(\pi r^2)/4\\=3.14*10^2/4\\=78.5 cm^2$

Total area of 4 quadrants is

$4*78.5=314 cm^2$

(b) The area of square is $(side)^2$

The length of side of square ABCD is $10+10=20 cm$

Therefore, area of square ABCD is

$20^2=400 cm^2$

Total area of shaded region is area of square minus total area of 4 quadrants.

$400-314=86 cm^2$

(c) Perimeter of a circle is $2\pi r$

Therefore, length of curve part of a quadrant will be $\frac{2\pi r}{4}$

So perimeter of shaded region is $4*\frac{2\pi r}{4} \\=2*3.14*10\\=62.8 cm$