11 (a) Nabina and Sabina create circular gardens with a 20 meter and 48 meter radius, respectively.
Rabina also constructs the circular
garden whose size equals the total
of the
areas of the circles
constructed by Sabina and Nabina.
(i) Find the area of the circle made by Nabina.
(iv
T



Answer :

Sure, let's find the area of the circle made by Nabina step-by-step.

To find the area of a circle, we use the formula:
[tex]\[ \text{Area} = \pi \times r^2 \][/tex]
where [tex]\( \pi \)[/tex] (pi) is a constant approximately equal to 3.14159, and [tex]\( r \)[/tex] is the radius of the circle.

Given:
- Radius of Nabina's circle, [tex]\( r = 20 \)[/tex] meters

Using the formula:
[tex]\[ \text{Area} = \pi \times (20)^2 \][/tex]

Now, substituting the values:
[tex]\[ \text{Area} = \pi \times 400 \][/tex]

This results in:
[tex]\[ \text{Area} \approx 1256.6370614359173 \, \text{square meters} \][/tex]

So, the area of the circle made by Nabina is approximately [tex]\( 1256.64 \)[/tex] square meters.