The diagram shows an isosceles triangle $ABC$ in which $BC=AC=10$ cm, and $\angle BAC=0.7$ rad

Question

The diagram shows an isosceles triangle $ABC$ in which $BC=AC=10$ cm, and $\angle BAC=0.7$ radians.
$DC$ is an arc of a circle with centre $A$ and radius $AC$.

Show that $\angle ACB=1.74$ rad.
Find the area of the shaded region.
Find the perimeter of the shaded region.

Accepted Answer

(i) $\angle ACB=1.74\text{ rad}$ (ii) $14.3\text{ cm}^2$ (iii) $22.3\text{ cm}$

Radian Measure in Isosceles Triangles

Radian Measure in Isosceles Triangles

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