# 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