Question

ABCis a quadrant of a circle of radius 14 cm and semicircle is drawn with bc as diameter find the area of shaded region [ from 12.3 QA 15 ]

Answer 1

Answer:

98cm^2

Step-by-step explanation:

In triangle ABC

by Pythagoras theorem

AB^2+AC^2=BC^2

BC=14√2 (so radius of semicircle is 7√2)

area required =area of semicircle +area of triangle -area of quadrant

=22/7×49×2+1/2×14×14-90/360×22/7×196

=154+98-154

=98cm^2