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Amiraneli [1.4K]
4 years ago
5

Find the radius of the circle whose equation is 3x² + 3y² = 75.

Mathematics
2 answers:
swat324 years ago
4 0
3x² + 3y² = 75
divide everything by 3
x² + y² = 25

This is a standard equation of a circle.
Center (0,0) and radius = 5
Schach [20]4 years ago
4 0

Answer: 5 units

Step-by-step explanation:

We know that the general equation of a circle having center at (h,k) and radius r is given by :-

(x-h)^2+(y-k)^2=r^2

Given : The equation of a circle : 3x^2 + 3y^2 = 75

Taking 3 as common from the left side of the given equation , we get

3(x^2 + y^2) = 75

Divide 3 on both the sides , we get

x^2 + y^2 = 25

Comparing to the general equation of circle , we get

r^2 = 25\\\\\Rightarrow\ r=5

Hence, the radius of the circle = 5 units

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