abc is a triangle right angled at b with ab=14cm and bc=24cm.with the vertices a,band c as centres arcs are drawn, each of radius 7 cm . find the area of the shaded region
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Radius of each sector (r) = 7 cm
we can let θ1 ,θ2and,θ3 be the angles of sectors or Δ
⇒;θ1+θ2+θ3=180∘(Angle sum-property)
Area of shaded region = Area of =12×AB×BC−πr2360∘[θ1+θ2+θ3][Area of sector=πr2θ360∘]ΔAC– Area of 3 sectors
=168−227×7×72
=168−11×7
=91 cm
we can let θ1 ,θ2and,θ3 be the angles of sectors or Δ
⇒;θ1+θ2+θ3=180∘(Angle sum-property)
Area of shaded region = Area of =12×AB×BC−πr2360∘[θ1+θ2+θ3][Area of sector=πr2θ360∘]ΔAC– Area of 3 sectors
=168−227×7×72
=168−11×7
=91 cm
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