Math, asked by arya14476, 3 months ago

36.
A poor artist on the street makes funny
cartoons for children and earns his living.
Once he made a comic face by drawing a
circle within a circle, the radius of the bigger
circle opening 30 cm and that of smaller
being 15 cm as shown in the figure. What
the area of the cap given in the figure? The
base of the cap being the diameter of the
bigger circle?
(4)
Cap​

Answers

Answered by shobaranisd
0

Step-by-step explanation:

sorry I can't understand say clearly

Answered by deepakpall143
0

Answer:

Radius of bigger triangle is with centre O=30 cm

Radius from O'=20cm

difference of their radii =distance between their centres O andO' =10cm

AB is a tangent if smaller circle so,/_OCA=90°=/_OCB

In triangle ica

AO²=AC²+CO²

30²=AC²+10²

900=AC²+100

AC=20√2

AC=CB

AB=AC+CB

AB=AC+CB

AB=2AC

AB=2*20√2

AB=40√2cm

CD=30-10

=20cm

Area of cap=AR of adb

1/2×AB×CD

1/2×40√2×20=400√2cm²

400×1.414

=565.6cmRadius of bigger triangle is with centre O=30 cm

Step-by-step explantion

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