Question

Question is attached in following photo:
Can someone please help?

Answer 1

Step-by-step explanation:

Solution: Here, OR is the hypotenuse of △ABC,

because lines from two ends of diameter always make a right angle when they meet at circumference.

So, BC

2

=AB

2

+AC

2

5

2

+12

2

= 25+144 = 169

= BC = 13

= Or, BC = 13cm Or radius = 6.5cm

Area of triangle =

2

1

x base x height

=

2

1

x 12 x 5

= 6 x 5

30 sq cm

Area of semicircle =

2

1

x π r

2

=

2

1

x π x 6.5

2

=

2

1

x 3.14 x 42.25

=

2

132.665

= 132.665 sq. cm

area of shaded region = 132.665 - 30 = 102.665 sq. cm