In the given figure AP = 12cm and PB = 16 cm Taking the value of pie as 3 , - Maths - Areas Related to Circles

Question

In the given figure AP = 12cm and PB = 16 cm Taking the value of
pie as 3 , the perimeter of the shaded region

Ishwarmani · Accepted Answer

Dear
Student,
Please find
below the solution to the asked query:

In ∆ABP,As, ∠APB=90°     Angle formed in a semicircle is always equal to 90°So, using pythagoras theorem,AB=AP2+BP2=122+162=144+256=400⇒AB=20 cmSo, radius,r=AB2=202=10 cmPerimeter of the shaded region=Length of the arc+AP+BP=πr+12+16=3×10+12+16=30+28=58 cm

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In the given figure AP = 12cm and PB = 16 cm.Taking the value of pie as 3 , the perimeter of the shaded region