In the given figure, a circle is inscribed in quad. $A B C D$ . If $B C = 38 c m, B Q = 27 c m, D C = 25 c m$ and $A D ⊥ D C$ , find the radius of the circle.

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Solution

$O P D S, O R C S$ are squares since all angles and sides are equal
$⟹ 2 r = 25 ⟹ r = 12.5 c m$

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Similar questions

Q. In Fig., a circle is inscribed within a quadrilateral

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. Given that

B C = 38 c m, B Q = 27 c m

and

D C = 25 c m

and that

A D

is perpendicular to

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. The radius of the circle is:

Q. In the adjoining figure, a circle is inscribed within a quadrilateral

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. Given that

B C = 38 c m, B Q = 27 c m, D C = 25 c m

and that

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In quadrilateral ABCD; angle D = $90^{o}$ , BC = 38 cm and DC = 25 cm. A circle is inscribed in this quadrilateral which touches AB at point Q such that QB = 27 cm. Finthe the radius of the circle.

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In the given figure, a circle is inscribed in quad. ABCD. If BC=38cm,BQ=27cm,DC=25cm and AD⊥DC, find the radius of the circle.

OPDS,ORCS are squares since all angles and sides are equal ⟹2r=25⟹r=12.5 cm

In the given figure, a circle is inscribed in quad. $A B C D$ . If $B C = 38 c m, B Q = 27 c m, D C = 25 c m$ and $A D ⊥ D C$ , find the radius of the circle.

$O P D S, O R C S$ are squares since all angles and sides are equal
$⟹ 2 r = 25 ⟹ r = 12.5 c m$