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Understanding the Area Between Two Circles: A Guide by Tiana Coley and Brianna Alexander

This guide explains how to calculate the area between two circles using the formula for the area of a circle, which is πr², where 'r' is the radius. Tiana Coley and Brianna Alexander illustrate the process with examples, including one where Circle A has a radius of 5 cm and Circle B has a radius of 10 cm. By subtracting the area of the smaller circle from the area of the larger circle, learners will see how to find the area between the two circles. Try out a similar problem for practice!

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Understanding the Area Between Two Circles: A Guide by Tiana Coley and Brianna Alexander

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  1. Area of Circles Tiana Coley and Brianna Alexander

  2. Basic Rule • Area of a circle is: pi*r2, where ‘r’ is the radius • And Pi= 3.14 r

  3. Problems with area • In circle A, the length of line AT is 10cm, and the length of AB is 5cm. What is the area between the two circles? • The question is asking us to identify the difference between the two circles; therefore, we need to subtract the areas of the smaller circle from the bigger circle(R-r).

  4. Solving the problem • Start by finding the areas of each circle separately. (Pi*r2) • Circle with radius 5cm(AB). • Pi*5^2= 25pi Area of first circle is 25pi T Circle with radius 10cm (AT). Pi*10^2=100pi 10cm Area of second circle is 100pi. 5cm A B Subtract the two areas from each other: (R-r.) 100pi-25pi=75pi Therefore the area between the two circles is 75pi. *Note- side AT and BA are radii.

  5. Try this • In Circle A, SA is 9cm, and EA is 6cm. Find the area between the two circles. (it’s easier to keep the area in terms of pi) S 9cm 6 cm E A

  6. Answer:45pi. Circles:Tiana Coley and Brianna Alexander

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