Form 3 Mathematics
OAB is a Sector of a circle of radius r cm. Angle AOB = 60°.
Find, in its simplest form, an expression in terms of r and π for the perimeter of the sector. 
answer
 Form 3 Mathematics
In the figure below, P, Q, R and S are points on the circle with centre O. PRT and USTV are straight lines. Line USTV is a tangent to the circle at S. Z.
RST = 50° and Z. RTV = 150°. 
a) Calculate the size of
i)<QRS ii)<USP iii)<PQR b) Given that RT = 7 cm and ST = 9 cm, calculate to 3 significant figures i)Length of line PR ii)The radius of the circle
answers
Form 3 Mathematics
An arc 11 cm long, subtends an angle of 70° at the centre of a circle. Calculate the length, correct to one decimal place, of a chord that subtends an angle of 90°
at the centre of the same circle.
answer
Form 2 Mathematics
A minor arc of a circle subtends an angle of 105 at the centre of the circle. If the radius of the circle is 8.4 cm, find the length of the major arc (Take π= 22/7).
answer
Form 1 Mathematics
A tailor had a piece of cloth in the shape of a trapezium. The perpendicular distance between the two parallel edges was 30cm. The lengths of the two parallel edges were 36 cm and 60cm. The tailor cut off a semi circular piece of the cloth of radius 14cm from the 60cm edge.
Calculate the area of the remaining piece of cloth. (Take π = 22/7)
answer
Form 2 Mathematics
The figure below shows two circles each of radius 7cm, with centers at X and Y. The circles touch each other at point Q
Give that AXD = BYC = 1200 and lines AB, XQY and DC are parallel, calculate the area of:
a) Minor sector XAQD (Take П 22/7)
b) The shaded regions.
ANSWER
Form 1 Mathematics
A piece of wire P cm long is bent to form the shape shown in the figure below
The figure consists of a semicircular arc of radius r cm and two perpendicular sides of length x cm each.
Hence show that the area A cm2, of the figures is given by 
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
The figure below represents a circle a diameter 28 cm with a sector subtending an angle of 750 at the centre.
Find the area of the shaded segment to 4 significant figures
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