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Mathematics 20 Online
OpenStudy (anonymous):

Will medal and Fan <3

OpenStudy (anonymous):

OpenStudy (anonymous):

do you know the formula for finding the area of a circle using diameter ?

OpenStudy (anonymous):

Area of circle = \[\pi * d^2 / 4 \]where d is diameter of circle

OpenStudy (anonymous):

go on google and find an area calculator :D

OpenStudy (calculusxy):

Area = \(\large \pi r^2\)

OpenStudy (calculusxy):

The radius (r) is half of the diameter. So if the diameter given is 28cm what would the radius be?

OpenStudy (calculusxy):

@rainbowswirl

OpenStudy (anonymous):

@hartnn Do you think you could explain this to me all in one? Im super confused :(

OpenStudy (anonymous):

so half would be 14

OpenStudy (anonymous):

@jhonyy9

OpenStudy (calculusxy):

To calculate the area, you need to use the formula \(\text{Area} = \pi r^2\). Since we are given the diameter, we need to find the radius to help us evaluate the formula for finding the area. The radius is always half of the diameter. Meaning that if my diameter was 4, for example, then my radius would be 2.

OpenStudy (calculusxy):

Do you understand that so far?

OpenStudy (anonymous):

Okay, half is 14 @calculusxy

OpenStudy (calculusxy):

That's correct and so 14 would be your radius. You can plug that into the formula now. \(Area = \pi (14)^2\) Since the question said to use 22/7 for \(\pi\), you would now have: \(\frac{22}{7}(14)^2 = Area\). Can you evaluate that?

OpenStudy (anonymous):

I dont know how, could you show me? @calculusxy

OpenStudy (calculusxy):

Okay so 14^2 = 14 x 14 = 196 \(\large \frac{22}{7} \times \frac{196}{1}\) Can you do that?

OpenStudy (anonymous):

I got 616 @calculusxy

OpenStudy (calculusxy):

Me too

OpenStudy (anonymous):

Is that it? @calculusxy

OpenStudy (calculusxy):

I think so. The answer should be \(616 \text{cm}^2\)

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