Quadrant.

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Presentation transcript:

Quadrant

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

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 =

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

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

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 = 346.5 m2 11 3 2 3 25 2

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

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

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

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.