Question

4. The centre of a circle is at (0,0) and a point on the circle is (4,3). Findthe length of the radius of the circle.​

Answer 1

Step-by-step explanation:

as according to central form of a circle

x²+y²=r²

where (x,y)=(4,3)

therefore 4²+3²=r²

16+9=r²

25=r²

r=25½=5

can also be solved by distance formula

Answer 2

Concept

If $(x_1,y_1)$ and $(x_2,y_2)$ are two points on a plan then the difference between them is $\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$.

Given,

Centre of the circle (0,0)

A point on the circle (4,3)

To Find,

Length of the radius of the circle

Solution,

Since we have a point on the circle, we can use the general equation of a circle to calculate the radius.

x²+y²=r²

4²+3² =r²

16+9 = r²

25 = r²

r = √25

r= 5 units

As a result, the circle's radius is 5 units.