Which of the following is the equation of a circle whose center is at the origin and whose radius is 5 ?
x(squared) + y(squared) =√5
x(squared) + y(squared) = 5
x(squared) + y(squared) = 10
x(squared) + y(squared) = 25
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OpenStudy (anonymous):
@peachpi I don't understand how to do this one!
OpenStudy (welshfella):
the equation whose centre is at the origin and whose radius is r is
x^2 + y^2 = r^2
OpenStudy (welshfella):
now substitute for r = sqrt5 and you have it
OpenStudy (anonymous):
I got 5
OpenStudy (welshfella):
you got 5 for what - i think you are on the right track
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OpenStudy (welshfella):
you need the correct value for r^2
OpenStudy (anonymous):
so then would It be √5?
OpenStudy (welshfella):
√5? is given in the question. its the radius ( r ) of the circle.
OpenStudy (welshfella):
so it √5 is r what is r^2?
OpenStudy (welshfella):
* if
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OpenStudy (welshfella):
r^2 = √5 * √5 = ?
OpenStudy (anonymous):
what does ^ mean?
OpenStudy (anonymous):
@welshfella
OpenStudy (anonymous):
10?
OpenStudy (welshfella):
^ means 'to the power' or exponential
r^2 = r * r
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OpenStudy (welshfella):
the square root of some number times the square root of the number = the number
( by definition)
so sqrt 3 * sqrt 3 = 3