Learning Outcomes

Mathematics Form 2 Chapter 10 - Circles


10.1  Recognize and draw parts of a circle


i. Identify circle as a set of points equidistant from a fixed point.

ii. Identify parts of a circle:
a)     center
b)     circumference
c)     radius
d)     diameter
e)     chord
f)      arc
g)     sector
h)     segment

iii. Draw:
a)    a circle given the radius and centre
b)    a circle given the diameter
c)    a diameter passing through a specific point in a circle given the centre.





10.2  Understand and use  the concept of circumference   to solve problems


i. Estimate the value of X.

ii. Derive the formula of the circumference of a circle. 

iii. Find the circumference of a circle, given its: 
a) diameter 
b) radius. 

iv. Find the: 
a) diameter 
b) radius given the circumference of a circle. 

v. Solve problems involving circumference of circles. 





10.3  Understand and use the concept of arc  of a circle to solve problems


i. Derive the formula of the length of an arc.

ii. Find the length of arc given the angle at the centre and the radius. 

iii. Find the angle at the centre given the length of the arc and the radius of a circle. 

iv. Find the length of radius of a circle given the length of the arc and the angle at the centre. 

v. Solve problems involving arcs of a circle. 



10.4 Understand and use the concept of area  of a circle to solve problems


i. Derive the formula of the area of a circle. 

ii. Find the area of a circle given the: 
a) radius 
b) diameter. 

iii. Find: 
a) radius 
b) diameter given the area of a circle.

iv. Find the area of a circle given the circumference and vice versa.

v. Solve problems involving area of circles.





10.5 Understand and use the concept of area of sector of a circle to solve problems



i. Derive the formula of the area of a sector.

ii. Find the area of a sector given the radius and angle at the centre. 

iii. Find the angle at the centre given the radius and area of a sector. 

iv. Find the radius given the area of a sector and the angle at the centre.
 
v. Solve problems involving area of sectors and area of circles.