Question

Ques 17. An equilateral triangle of side 28cm is inscribed in a circle of diameter 32 cm as shown in fig. What is the area of shaded region. Use pie = 3.14. *​

Answer 1

Solution:

 area of a equilateral triangle$=\frac{\sqrt{3} }{4} a^2$

 area of a circle $=$π $r^2$

now ,

The area of the shaded region =area of circle -area of triangle

$=3.14X32^2-\frac{\sqrt{3} }{4} (28)$

$=3.14X1024-7\sqrt{3} \\\\=3215.36-7\sqrt{3}\\\\=3215.36 -7^2X3^\frac{1}{2}^X^2 \\\\=3215.36 -49X3\\\\=3215.36-147\\\\=3068.36 cm^2$

∴The area of the shaded region is 3068.36 cm.sq