Waecmaths
| Title | waecmaths question |
|---|---|
| Question 17 |
A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord. |
| Question 19 |
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| Question 23 |
In the diagram, O is the centre of the circle, $OM\parallel XZ$and $\angle ZOM={{25}^{\circ }}$. Calculate $\angle XYZ$ |
| Question 24 |
A chord 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle |
| Question 32 |
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| Question 39 |
A chord subtends an angle of 120o at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord[Take $\pi =\tfrac{22}{7}$] |
| Question 41 |
Determine the value of m in the diagram
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| Question 44 |
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| Question 16 |
The length of the minor and major arcs of a circle are 54cm and 126cm respectively. Calculate the angle of the major sector |
| Question 17 |
A sector of a circle which subtends 172o at the centre of the circle has a perimeter of 600cm. Find, correct to the nearest cm, the radius of the circle [Take $\pi =\tfrac{22}{7}$] |
| Question 20 |
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| Question 21 |
The diagram is a circle centre O, If $\angle SPR=2m$ and $\angle SQR=n$ express m in terms of n |
| Question 41 |
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| Question 42 |
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| Question 44 |
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| Question 5 |
In the diagram OP and OR are radii, $\left| PQ \right|=\left| QR \right|$ and reflex $\angle POR$ is 240o. Calculate the value of x |
| Question 19 |
The perimeter of a sector of a circle 4cm is $(\pi +8)cm$ . Calculate the angle of the sector |
| Question 24 |
A circle is divided into two sectors in the ratio 3 : 7. If the radius of the circle is 7cm, Calculate the length of the minor arc of the arc |
| Question 22 |
In the diagram, the tangent MN makes an angle of 55o with the chord PS. If O is the centre of the circle, find $\angle RPS$
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| Question 31 |
In the diagram, O is the centre of the circle, $\angle SQR={{60}^{{}^\circ }},\angle SPR=y$ and $\angle SOR=3x$ find the value of (x + y)
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| Question 35 |
In the diagram GI is a tangent to the circle at H. If $EF\parallel GI$ calculate the size$\angle EHF$
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| Question 44 |
In the diagram , O is the centre of the circle. Find the value of x |
| Question 18 |
In the diagram $\overline{YW}$is a tangent to the circle at X, $\left| UV \right|=\left| VX \right|$and $\angle VXW={{50}^{\circ }}$, find the value of $\angle UXY$ |
| Question 20 |
In the diagram, O is the centre of the circle \[\angle XOZ={{(10m)}^{\circ }}\] and \[\angle XWZ={{m}^{\circ }}\]calculate the value of m |
| Question 22 |
In the diagram, TS is a tangent to the circle at S . $\left| PR \right|=\left| RS \right|$ and $\angle PQR={{117}^{\circ }}$. Calculate $\angle PST$ |
| Question 22 |
In the diagram, TS is a tangent to the circle at S . $\left| PR \right|=\left| RS \right|$ and $\angle PQR={{117}^{\circ }}$. Calculate $\angle PST$
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| Question 41 |
In the diagram, O is the centre of the circle $\angle QPS={{100}^{\circ }},\text{ }\angle PSQ={{60}^{\circ }}\text{ and }\angle QSR={{80}^{\circ }}$ Calculate $\angle SQR$ |
| Question 48 |
In the diagram $\overline{MN}$is a chord of a circle KMN centre O and radius 10cm. If $\angle MON={{140}^{\circ }}$, find, correct to the nearest cm, the length of the chord MN |
| Question 19 |
In the diagram, $\left| TP \right|=12cm$ and it is 6cm from O, the centre of the circle Calculate $\angle TOP$
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| Question 34 |
An arc of a circle subtends an angle of 60o at the centre. If the radius of the circle 3cm, find in terms of π, the length of the arc |
| Question 38 |
In the diagram, angle 200o is subtended at the centre of the circle. Find the value of x |
| Question 17 |
POR is a sector of a circle centre O, radius 4cm, if $\angle PQR={{30}^{{}^\circ }}$. Find, correct to 3 significant figures, the area of sector POR $\pi =\tfrac{22}{7}$ |
| Question 20 |
In the diagram \[\left| PR \right|=\left| QR \right|\] and $\left| PR \right|=\left| RS \right|=\left| SP \right|$ , calculate the size of $\angle QRS$ |
| Question 25 |
In the diagram, O is the centre of the circle and PQRS is a cyclic quadrilateral. Find the value of x |
| Question 35 |
An arc of a circle, radius 14cm is 18.33cm long Calculate correct to the nearest degree, the angle which the arc subtends at the centre of the circle Take$\pi=\tfrac{22}{7}$ |
| Question 37 |
XY is a chord of circle centre O and radius 7. The chord XY which is 8cm long subtends an angle of 120o at the centre of the circle . Calculate perimeter of the minor segment[Take $\pi =\tfrac{22}{7}$] |
| Question 44 |
In the diagram, PX is a tangent to the circle and PST is an equilateral triangle. Calculate $\angle PTS$ |
| Question 46 |
In the diagram. Find the size of the angle marked ao |
| Question 15 |
A chord of length 6cm is drawn in a circle of radius 5cm. Find the distance of the chord from the centre of the circle |
| Question 23 |
In the diagram $\left| SP \right|=\left| SR \right|$ and $\angle PRS={{50}^{\circ }}$ Calculate $\angle PQR$ |
In the diagram $\overline{VX}$is a tangent to the tangent to the circle UYW at W. If $WY\parallel UV$, $\angle UYW={{95}^{\circ }}$ and $\angle UWY={{46}^{\circ }}$find $\angle UVW$
In the figure, PQ is a tangent to the circle at R and UT is parallel to PQ if $\angle TRQ={{x}^{\circ }}$. Find $\angle URT$in terms of x
In the diagram, O is the centre of the circle $\overline{PR}$is a tangent to the circle at Q and $\angle SOQ={{86}^{\circ }}$ Calculate the value of $\angle SQR$
In the diagram O is the centre of the circle PQRS and $\angle PSR={{86}^{\circ }}$, if $\angle POR={{x}^{\circ }}$ find x
The diagram is a circle with centre O. PRST are points on the circle. Find the value of $\angle PRS$
The diagram is a circle of radius $\left| OQ \right|=4cm$ . $\overline{TR}$ is a tangent to the circle at R. If $\angle TPO={{120}^{{}^\circ }}$ find $\left| PQ \right|$ 
In the diagram, $\left| SR \right|=\left| QR \right|,\text{ }\angle SRP={{65}^{{}^\circ }},$$\text{and }\angle RPQ={{48}^{{}^\circ }}$ find $\angle PRQ$
