Question

In the fig, a circle with center P touches
the semicircle ar points a and Chaving
centoe O ir diameters AB = 10, AC = 6 then
find the radias of the
smalles circles
​

Answer 1

Step-by-step explanation:

Given:

Diameter of semicircle APB & CQD = 7 Diameter of semicircle ARC & BSD = 14

cm

cm

From the given figure We have,

FOR SEMICIRCLE ARC:

Diameter AC =14 cm

Radius for semicircle ARC = 14/2= 7 cm

FOR SEMICIRCLE APB

Diameter AB=7 cm Radius for semicircle AB = 7/2 cm

FOR SEMICIRCLE BSD

Diameter BD =14 cm Radius for semicircle BD = 14/2= 7 cm

FOR SEMICIRCLE CQD

Diameter CD=7 cm Radius for semicircle CD = 7/2 cm

PERIMETER OF CIRCLE = TT

Perimeter of the shaded region= Perimeters of semicircle (ARC + APB + BSD + CQD)

Perimeter of the shaded region= 7x7 + T

x7/2 +TTX7 + T x7/2 = (7+7/2+7/7/2)

= T(14+ 7/2+7/2) = TT( 14 +7)

= 22/7 x 21

= 22 x 3 = 66 cm

Hence, the Perimeter of the shaded region is 66 cm.

HOPE THIS WILL HELP YOU...