1. Quadrant

2. Quadrant A quadrant is one quarter of a circle
When a circle is divided by two perpendicular diameters, the four equal parts are called quadrants.
The blue shaded region in the image represents a quadrant
quadrant

3. Perimeter of a quadrant
In a quadrant, the perimeter is made up of quarter the circumference (arc) of the circle and the two radius of the circle
Perimeter = x (circumference of circle) + 2r
Perimeter =

4. Area of quadrant
The area of a quadrant is quarter the total area of a circle. Area of quadrant = x (area of circle) ∴ Area of quadrant =
Area of quadrant

5. Question 1: The radius of a quadrant is 7 cm
Question 1: The radius of a quadrant is 7 cm. Calculate the area and perimeter of the quadrant. Solution: Given: r = 7 cm To find: perimeter and area of quadrant
Perimeter of quadrant P=
Perimeter = 25cm
Area of quadrant
A =
Area = 38.5cm2 11 2 2

6. Question 2: The radius of a quadrant is 21 m
Question 2: The radius of a quadrant is 21 m. Calculate the area and perimeter of the quadrant. Solution: Given: r = 21 cm To find: perimeter and area of quadrant
Perimeter of quadrant P=
= 3 x 25
Perimeter = 75m
Area of quadrant
A =
Area = m2 11 3 2 3 25 2

7. Question 3: Perimeter of quadrant is 120cm. Find its radius.
P= 120cm 12 5

8. Question 4: Perimeter of quadrant is 175m. Find its radius.
P= 175m 35 7 7 10 2
r = 7 X 7
= 49 m

9. Recap
When you divide a circle by two perpendicular diameters, you obtain 4 equal parts called quadrants.
Perimeter of quadrant =
Area of quadrant =

10. Try these
The radius of a quadrant is 21 cm. Calculate the perimeter and area of the quadrant?
Perimeter of quadrant is 120cm. Find its radius.