What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4?

2 units
4 units
8 units
16 units

Answer

Find out the radius of a circle whose equation is (x – 7)²+ (y – 10)²= 4 .

To proof

The equation of a circle is

where  the center being at the point (h, k) .

and r is the radius of circle .

Now the equationis given in the question is

(x – 7)²+ (y – 10)²= 4

write it as

(x – 7)²+ (y – 10)²= 2²

compare this equation with the equation of circle

we get

r = 2 units

Therefore the radius of a circle is 2 units .

Option (a) is correct .

Hence proved

Option (a) is correct.

The radius of circle with equation is 2 units.          

Step-by-step explanation:

 Given : The equation of circle as

We haave to determine the radiusof th circle whose equation is given as .

Consider the gicen equation

The standard equation of circle with centre (h, k) and radius r is given by

Thus, Comparing the gicen equation h = 7 , k = 10 and r = 2

Thus, The radius of circle with equation is 2 units.

check the picture below.

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step-by-step explanation: