Area of a Circle
Radius, Diameter & Circumference of a Circle
100

What is the "radius" of a circle?

The distance from the centre of the circle to a point on the circle

100

What is the "circumference" of a circle?

The distance around a circle OR the perimeter of a circle

200

Find the area of this circle:


A=ᴨr2

A=(3.14)(4 cm)2 

A=(3.14)(4 cm)(4 cm)

A=50.24 cm2

200

What is the "diameter" of a circle?

The distance across a circle through its centre

300

Find the area of this circle:

A=ᴨr2

A=(3.14)(12 cm)2 

A=(3.14)(12 cm)(12 cm)

A=452.16 cm2

300

What is the circumference of this circle?


C=2ᴨr

C=(2)(3.14)(3 cm)

C=18.84 cm

400

The diameter of a circle is 12 in. Find the area of the circle:


r = d
      2
r=12 in
       2 

r=6 in

A=ᴨr2

A=(3.14)(6 in)2 

A=(3.14)(6 in)(6 in)

A=113.04 in2



400

What is the circumference of this circle? (" is inches)


C=ᴨd

C=(3.14)(8 in)

C=25.12 in

500

Ms. K was trying to find the area of this circle but she made a mistake: 

What mistake did she make in her work shown below? What is the correct answer?

A=ᴨr2

A=(3.14)(5 cm)2 

A=(3.14)(5 cm)(2)

A=31.4 cm2

She multiplied the radius by 2 instead of squaring it.

A=ᴨr2

A=(3.14)(5 cm)2 

A=(3.14)(5 cm)(5 cm)

A=78.5 cm2

500

The circumference of a circle is 69.08 ft. What is the radius of the circle?

C=ᴨd

69.08 ft=(3.14)(d)
   3.14        3.14

22 ft=d

r = d
      2

r = 22ft
       2

r = 11 ft