A semi-circle has a diameter of 32cm there is a another hole which is a semi-circle with a diameter of 16cm .Find the perimeter of the bigger semi-circle.(Take PI as 22/7)

Perimeter of Circles

Perimeter of the object is 91.4285 cm

Step-by-step explanation:

The perimeter of a circle is defined as

The perimeter of outer arc will be

The perimeter of inner arc will be

Where is radius of bigger semicircle and is radius of smaller semicircle

Given diameter of outer semicircle  = 32 cm

= 32/2 = 16 cm

Given diameter of outer semicircle  = 16 cm

= 16/2 = 8 cm

So the perimeter of the object =

Perimeter P = 22/7 * (16 +8 ) + 2 * 8 =

P = 22/7 * 24 +16

So P = 75.4285 +16 = 91.4285 cm

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.