Jitender Gupta and Divya Malik Solutions for Exercise 4: CHAPTER EXERCISE

In the given figure, $\mathrm{O}$ is the centre of a circle. Find the value of $\mathrm{b}$.

$PQR$ is a right-angled triangle with $PQ = 3 \mathrm{cm}$, $QR = 4 \mathrm{cm}$ and $\angle Q=90°$. A circle which touches all the sides of the triangle is inscribed in the triangle. Calculate the radius $\left(\mathrm{cm}\right)$ of the circle.

Two chords $AB$ and $CD$ of a circle intersect each other at $P$ outside the circle. If  $AB=5 \mathrm{cm}, BP=3 \mathrm{cm}$ and $PD=2 \mathrm{cm}$, then find the value $\left(\mathrm{cm}\right)$of $CD$.

In the given figure,$\mathrm{O}$ is the centre of circle and $\mathrm{AB}$ is a tangent to it at point $\mathrm{B}$. If $\angle \mathrm{BDC} = 65°$, then find $\angle \mathrm{BAO}$ (in $°$ ).

Find the length $\left(\mathrm{cm}\right)$ of the tangent drawn to a circle of radius $8 \mathrm{cm}$ from a point which is at a distance of $10 \mathrm{cm}$ from the center of the circle.

Two circles of radii $5 \mathrm{cm}$ and $3 \mathrm{cm}$ are concentric. Calculate the length $\left(\mathrm{cm}\right)$of a chord of the outer circle which touches the inner.

In the given figure, chord $\mathrm{AB}=$chord $\mathrm{BC}$. If $\angle \mathrm{AOB}=50°$ and $\angle \mathrm{BAC}=k°$, then find the value of $k$.

In the given figure, a circle is inscribed in the quadrilateral $\text{ABCD}$. If $\mathrm{BC}=38 \mathrm{cm}, \mathrm{QB}=27 \mathrm{cm}, \mathrm{DC}=25 \mathrm{cm}$and $\mathrm{AD}$ is perpendicular to $\mathrm{DC}$, then find the radius $\left(\mathrm{cm}\right)$of the circle.

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