Question

Answer the following question ​

Answer 1

Answer:

Radius of big circle is 4 cm and area of shaded region is 19.499 or 19.5

Step-by-step explanation:

First-fall, we see the length of AB of the triangle. Ab= 4cm

1/2AB = 2cm which is radius of the circle.

area of circle is πr^2

22/7*2^2= 88/7

There are three circles so 88/7*3= 264/3  = 37.714cm^2

Area of equilateral triangle is  √3/4*(a)2 = √3/4 * 4^2

= 4√3, root 3 = 1.732, so 4* 1.732=6.928

area of total shaded region is area of big circle + area of triangle - area of 3 small circles.

= area = πr^2of big circle = 22/7 * 4^2 = 50.285cm^2

= 50. 285+6.928-37.714= 19.499cm^2