In the figure ABCD is a rectangle of length 10 2 cm and breadth 5 2 cm If APB - Maths - Areas Related to Circles

Question

In the figure ABCD is a rectangle of length 10?2 cm and breadth 5?2
cm If APB is an isoseles triangle inscribed in the semicircle with
daimeter AB find the area of the shaded region

Lovina Kansal · Accepted Answer

Dear student
Area of semi-circle=12πr2=12×π×d22=12×227×10222=5507cm2Draw PQ⊥AB
So, PQ=BC=52cmAnd, QB=AB2=1022cm=52cmSo, area of △APB=12×AB×PQ=12×102×52cm=50cm2So, area of shaded region=Area of semi-circle- area of △APB=5507-50=550-3507=2007 cm2

Regards

In the figure ABCD is a rectangle of length 10?2 cm and breadth 5?2 cm. If APB is an isoseles triangle inscribed in the semicircle with daimeter AB find the area of the shaded region