Question

ABC is an isosceles triangle with angle ABC is 90 degree. A semicircle is drawn and AC is the diameter. Ab= bc=7cm turn find area of shaded region.

Answer 1

Answer:

find the area of semicircle by formula then find area of rectamgle by pythagoras theorem the subtract both

Answer 2

Step-by-step explanation:

By using Pythagoras theorem, find diameter of semi circle,

AC square =BC square + AB square

AC square =7 square + 7 square

AC square =49+49

AC square =98

AC= 7 under root 2

Hence radius of semi circle =7 under root2/2

Area of shaded region

= area of semi circle - area of triangle

22/7*2 *7 under root 2/2 * 7 under root 2/2-1/2*AB*BC

22*49*2/2*7*2*2 - 1/2*7*7

77/2 - 49/2

38.5 - 24.5

14 cm square