 ## Circular Measure, Long Questions (Paper 2)

Question 7:Diagram below shows a semicircle PTS, centre O and radius 8 cm. PTR is a sector of a circle with centre P and Q is the midpoint of OS.[Use π = 3.142]Calculate(a) ∠TOQ, in radians,(b) the length , in cm , of the arc TR ,(c) the area, in cm2 ,of the shaded region.Solution: … Read moreCircular Measure, Long Questions (Paper 2)

## Circular Measure Long Questions (Question 6)

Question 6: In the diagram above, AXB is an arc of a circle centre O and radius 10 cm with  ∠AOB = 0.82 radian. AYB is an arc of a circle centre P and radius 5 cm with  ∠APB = θ. Calculate: (a) the length of the chord AB, (b) the value of θ in … Read moreCircular Measure Long Questions (Question 6)

## SPM Form 4 Additional Mathematics Chapter 8 – Circular Measure

08 Circular Measure Radian Arc Length of a Circle Area of Sector of a Circle Further Practice Short Questions Example 1, 2 & 3 Example 4 & 5 Long Questions Example 1 Example 2 Example 3 Mind Map

## Circular Measure Long Questions (Question 5 & 6)

Question 5: Diagram below shows a circle PQRT, centre O and radius 5 cm. AQB is a tangent to the  circle at Q. The straight lines, AO and BO, intersect the circle at P and R respectively.  OPQR is a rhombus. ACB is an arc of a circle at centre O. Calculate (a) the angle x , … Read moreCircular Measure Long Questions (Question 5 & 6)

## Circular Measure Long Questions (Question 3 & 4 )

Question 3: Diagram below shows two circles. The larger circle has centre A and radius 20 cm. The smaller circle has centre B and radius 12 cm. The circles touch at point R. The straight line PQ is a common tangent to the circles at point P and point Q. [Use π = 3.142] Given that angle PAR … Read moreCircular Measure Long Questions (Question 3 & 4 )

## Circular Measure Short Questions (Question 4, 5 & 6)

Question 4: Diagram below shows a circle with centre O.   The length of the minor arc is 16 cm and the angle of the major sector AOB is 290o. Using  π = 3.142, find (a) the value of  θ, in radians. (Give your answer correct to four significant figures) (b) the length, in cm, of … Read moreCircular Measure Short Questions (Question 4, 5 & 6)

## Circular Measure Long Questions (Question 1 & 2)

Question 1: Diagram shows a circle, centre O and radius 8 cm inscribed in a sector SPT of a circle at centre P.  The straight lines, SP and TP, are tangents to the circle at point Q and point R, respectively. [Use p= 3.142] Calculate (a) the length, in cm, of the arc ST, (b) … Read moreCircular Measure Long Questions (Question 1 & 2)

## 8.3 Area of a Sector of a Circle

8.3 Area of a Sector of a Circle (A) Area of a Sector of a Circle 1. If a circle divided into two sectors of different sizes, the smaller sector is known as the minor sector while the larger sector is known as the major sector. 2. If AOB is the area of a sector … Read more8.3 Area of a Sector of a Circle

## 8.2 Length of an Arc of a Circle

(A) Formulae for Length and Area of a Circle r = radius    A= area    s = arc length    q = angle    l = length of chord (B) Length of an Arc of a Circle Example 1: An arc, AB, of a circle of radius 5 cm subtends an angle of 1.5 radians at the centre. … Read more8.2 Length of an Arc of a Circle