Question

A wire is in the shape of an isosceles triangle of two equal sides 16 cm and the unequal side 12 cm. The wire is bent into the shape of a circle. Find the area of the circle that is formed.

Answer 1

Answer:

108cm²

Step-by-step explanation:

Divide the triangle into two congruent right angled triangle with hypotenuse 15 cm and base =

2

18

=9cm

With pythagoras theorem : 15

2

=9

2

+h

2

h

2

=225−81=144

h=12

Area of one right angled triangle =

2

1

×b×h =

2

1

×9×12 = 54cm

2

Area of isosceles triangle = 2×54 =108cm

2