# Jambmaths

Maths Question
Question 24

In the diagram above, $\angle RPS={{50}^{o}}$, $\angle RPQ={{30}^{o}}$and PQ = QR . Find the value of $\angle PRS$

Question 26

In the diagram above , EFGH is a circle, centre O, FH is a diameter and GE is a chord, which meets FH at right angle at point N. If NH is 8cm and EG= 24cm. Calculate FH

Question 27

P(–6,1) and Q(6,6) are two ends of the diameter of a circle the radius.

Question 31

The chord ST of a chord ST of a circle is equal to the radius r of the circle. Find the length of the arc ST.

Question 28

A  chord of a circle subtends an angle of 120oat the centre of a circle of diameter $4\sqrt{3}cm$. Calculate the area of the major sector.

Question 30

In the diagram above, XZ is the diameter of the circle XYZW with center O and radius $\tfrac{15}{2}cm$. If XY =12 cm, find the area of the triangle XYZ

Question 23

An arc of a circle subtends an angle of 30oon the circumference of radius 21cm. Find the length of the arc. [take $\pi =\tfrac{22}{7}$]

Question 28

In the diagram above, O is the centre of the circle, POM is a diameter and $\angle MNQ={{42}^{\text{o}}}$. Calculate $\angle QMP$

Question 33

XYZ is a circle centre O and radius 7cm.Find the area of the shaded portion.

Question 35

In the diagram above, PQR is a straight line and PS is a straight line and PS is a tangent to the circle QRS with $\left| PS \right|=\left| SR \right|$ and $\angle SPR={{40}^{o}}$.Find $\angle PSQ$

Question 1

An arc of a circle of length 22cm subtends an angle of 3xo at the centre of the circle. Find the value of x if the diameter of the circle is 14cm. [$\pi =\tfrac{22}{7}$]

Question 9

P, R and S lies on a circle centre O as shown above, while Q lies outside the circle. Find $\angle$PSO

Question 9

A chord of a circle subtend an angle of 60oat the centre of a circle of radius 14cm. Find the length of the chord

Question 12

In the diagram above, O is the centre of the circle $\angle UOT=70^\circ$ and $\angle RST=100^\circ$ Calculate $\angle RUO$

Question 14

A sector of a circle has an area of 55cm2. IF the radius of the circle is 10cm , calculate the angle of the sector.[take $\pi =\tfrac{22}{7}$]

Question 8

In the diagram POQ is a diameter of the circle. PQRS. If $\angle PSR={{145}^{o}}$. Find xo

Question 27

In the diagram above $\angle OPQ$is

Question 29

Find the angle subtends at the centre of a circle by a chord which is equal in length to the radius of the circle.

Question 28

A chord is drawn 5cm away from the centre of a circle of radius is 13cm. Calculate the length of the chord.

Question 28

From the diagram above, find x

Question 30

From the cyclic quadrilateral TUVW  above, find the value of x

Question 32

An arc subtends an angle of 50o at the centre of circle of radius 6cm. Calculate the area of sector formed

Question 29

A chord of a circle of radius 7cm is 5cm from the centre of the circle. What is the length of the chord?

Question 27

In the diagram above, PQR is a circle O. If $\angle \mathbf{QRP}$is xo, Find $\angle \mathbf{QRP}$

Question 29

A circular arc subtends angles 150o at the centre of a circle of radius 12cm. Calculate the area of the sector of the arc.

Question 28

\begin{align} & \text{Find the length of a chord which subtends an angle of 9}{{\text{0}}^{\text{o}}}\text{ at the centre of a } \\ & \text{circle whose radius is 8cm} \\ & \text{(A) }4cm\text{ (B) }8cm\text{ }(C)\text{ }8\sqrt{2}cm\text{ (D) }8\sqrt{3}\text{ cm} \\\end{align}

Question 29

\begin{align} & \text{A chord of a circle suntends an angle of 12}{{\text{0}}^{\circ }}\text{ at the centre of a circle of diameter }4\sqrt{3}cm\text{. } \\ & \text{Calculate the area of the major sector} \\ & \text{(A) }4\pi \text{ (B) }8\pi \text{ (C) }16\pi \text{ }(D)\text{ }32\pi \\\end{align}

Question 29

If the angle of a sector of a circle with radius 10.5cm is 120o, find the perimeter of the sector

Question 15

Find the length of arc which subtend an angle an angle of 60oat the centre of a circle whose radius 12cm

Question 21

A chord of a circle of radius $\sqrt{6}cm$subtends an angle of 30oon the circumference of circle. Find the length of the chord

Question 49

From the diagram above, find x

Question 6

From the diagram above, find the value of $\angle OTQ$

Question 9

From the diagram above, find the value of $\angle ROP$

Question 18

Calculate the perimeter of a sector of a circle of radius 12cm and angle 60o

Question 24

Calculate the perimeter of a sector a circle of radius 9cm and angle 36o

Question 29

An arc subtends an angle of 30oat the centre of a circle radius 12cm. Calculate the length of the arc

Question 31

An arc of the length 16π cm subtends an angle of 80o at the centre of the circle. Find the radius of the circle

Question 44

From the cyclic quadrilateral above, find $\angle TVS$

Question 46

In the cyclic quadrilateral above, find $\angle PRO$

Question 9

From the diagram above, the value of x is