$O$ is the centre of the circle. $OP=5$ and $OT=4$, and $AB=8$. The line $PT$ is a tangent to the circle. Find $PB$

In the figure given below, $AB=16, CD=12$ and $OM=6$. Calculate $ON$.

In the figure, $M$ is the centre of the circle. $1\left(QS\right)=10\sqrt{2}$ , $1\left(PR\right)=1\left(RS\right)$ and $PR$ is parallel to $QS$. Find the area of the shaded region.

In the given figure, $PBC$ and $PKH$ are straight lines. If $AH=AK$, $b={70}^o, c={40}^o$, the value of $d$ is

In the figure, $AB=x$ Calculate the area of triangle $ADC\left(\angle B={90}^o\right)$

In the given figure $SQ = TR = a, QT = b, QM\perp PR, ST$ is parallel to $PR.$

$m\angle STQ = {30}^{\mathrm{o}}$

$m\angle SQT = {90}^{\mathrm{o}}$

Find $QM.$

In the figure given, $AB$ is a diameter of the circle and $C$ and $D$ are on the circumference such that $\angle CAD = {40}^{\mathrm{o}}.$ Find the measure of the $\angle ACD$