Form 2 Mathematics
An arc of a circle subtends an angle of 150° at the circumference of the circle. Calculate the angle subtended by the same arc at the centre of the circle.
ANSWER
Form 3 Mathematics
In the figure below, AB is a tangent to the circle, centre O and radius 6 cm. The arc AC subtends an angle of 60° at the centre of the circle.
Calculate the area of the shaded region, correct to 1 decimal place.
answer
Form 3 Mathematics
In the figure below, PQRS is a cyclic quadrilateral. PQ = QR, PQR =105° and PS is parallel to QR.
Determine the size of.
(a) ∠ PSR (b)∠ PQS.
answer
Form 3 Mathematics
In the figure below, K M and N are points on the circumference of a circle centre O.
The points K, O, M and p are on a straight line. PN is a tangent to the circle at N.Angle KOL = 1300 and angle MKN = 400 
Find the values of the following angles, stating the reasons in each case:
a) ∠MLN
b) ∠OLN c) ∠LNP d) ∠MPN
Answer
Form 3 Mathematics
In the figure below, O is the centre of the circle. A, B, C and D are points on the circumference of the circle. Line AB is parallel to line DC and angle ADC = 55°.
Determine the size of angle ACB
answer
Form 2 Mathematics
The area of a sector of a circle, radius 2.1cm, is 2.31cm^2. The arc of the sector subtends an angle θ, at the centre of the circle. Find the value of θ in radians to
2 correct decimal places
answer
Form 2 Mathematics
In the figure below is O the center of the circle ABCD and AOD in a straight line
If AB = BC and angle DAC = 400, Calculate angle BAC.
Answer
Form 2 Mathematics
In the figure below, ABCD is a cyclic quadrilateral. Point O is the centre of the circle. Angle ABO = 30° and angle ADO - 40°.
Calculate the size of angle BCD.
answer
Form 2 Mathematics
In the figure below DA is a diameter of the circle ABCD centre O, radius 10cm. TCS is a tangent to the circle at C, AB=BC and angle DAC= 380
a) Find the size of the angle;
(i) ACS; (ii) BCA b) Calculate the length of: (i) AC (ii) AB
answers
Form 2 Mathematics
An angle of 1.8 radians at the centre of a circle subtends an area of length 23.4cm
Find; a) The radius of the circle b) The area of the sector enclosed by the arc and the radii.
answer
Form 2 Mathematics
In the figure below R, T and S are points on a circle centre O PQ is a tangent to the circle at T. POR is a straight line and angle QPR = 200
Find the size of angle RST
answer
Form 3 MathematicsIn the figure below, points O and P are centers of intersecting circles ABD and BCD respectively. Line ABE is a tangent to circle BCD at B. Angle BCD = 420 
Answer
Form 2 Mathematics | Topical Questions and AnswersOn The figure below lines ABC and DC are tangents to the circle at B and D respectively ∠ACD = 400 and ∠ABE = 600 
Giving reasons find the size of:
ANSWER
Free 1999 K.C.S.E Mathematics Topical Question & Answers Paper 1The figure below shows two circle ABPQ and ABSR intersecting at A and B. PBS, QART and ABU are straight lines. The line UST is a tangent to a circle ABSR at S. ∠BPQ = 800, ∠PBU = 1150 and ∠BUS = 700 
Find the values of the following angles, stating your reason in each case.
ANSWER
Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2
The figure below represents a rectangle PQRS inscribed in a circle centre 0 and radius 17cm . PQ = 16 cm.
​Calculate
answer
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AuthorMaurice A Nyamoti is a Mathematics/ Computer Teacher and has passion to assist students improve grades RSS_FEED
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