Let's do a few circle area problems.
Here is the formula for finding the area of a circle:



Visit this page to see where the formula comes from. Review π here.


Example 1: Find the area

r is the radius
A = π r2
A = π (6)2
  use the π button on your calculator
A = 113.1 mm2   rounded to 1 d.p.



Example 2: Let's double the radius and find the new area:

A = π r2
A = π (12)2
A = 452.4 mm2   rounded to 1 d.p.

Doubling the radius made the area 4 times larger
because the radius is squared; 'twice' squared is 'times 4'



Example 3: Finding the radius
The area is 415.5 cm2; Find the radius:
A = π r2
415.5 = π r2
415.5/π = r2
132.26 = r2 now do a square root:
11.5 cm = r



Example 4: find the area

A = π r2
The formula uses 'r', so we need to use the radius 23:
A = π (23)2
A = 1661.9 cm2




Example 5: find the diameter
The area is 1000 m2. Find the diameter
The formula uses 'r', so we'll need to solve for 'r' first:
A = π r2
1000 = π r2
1000/π = r2
318.31 = r2
17.84 = r    so the diameter d = 2 x 17.84 = 35.7 m



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Content, artwork, HTML & design by Bill Willis 2024