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 120^{o}at 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 30^{o}on 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 3x^{o} 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 60^{o}at 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 55cm^{2}. 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 x^{o}^{ }

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 50^{o} 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 x^{o}, Find $\angle \mathbf{QRP}$ 
Question 29 
A circular arc subtends angles 150^{o} 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 120^{o}, find the perimeter of the sector 
Question 15 
Find the length of arc which subtend an angle an angle of 60^{o}at the centre of a circle whose radius 12cm 
Question 21 
A chord of a circle of radius $\sqrt{6}cm$subtends an angle of 30^{o}on 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 60^{o} 
Question 24 
Calculate the perimeter of a sector a circle of radius 9cm and angle 36^{o} 
Question 29 
An arc subtends an angle of 30^{o}at 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 80^{o} 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 