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If the point P(2, 4) lies on a circle, whose centre is C(5, 8), then the radius of the circle is
- a)5 units
- b)25 units
- c)4 units
- d)8 units
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If the point P(2, 4) lies on a circle, whose centre is C(5, 8), then t...
Explanation:The point P(2 , 4) is on the circle and C(5, 8) is its centre
Hence PC will be Radius of circle.
Most Upvoted Answer
If the point P(2, 4) lies on a circle, whose centre is C(5, 8), then t...
To find the radius of the circle, we can use the distance formula. The distance between the center of the circle, C(5, 8), and any point on the circle, P(2, 4), will be equal to the radius.
The distance formula between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can calculate the distance between C(5, 8) and P(2, 4):
d = √((2 - 5)^2 + (4 - 8)^2)
= √((-3)^2 + (-4)^2)
= √(9 + 16)
= √25
= 5
Therefore, the distance between C(5, 8) and P(2, 4) is 5 units, which is equal to the radius of the circle.
Hence, the correct answer is option 'A' - 5 units.
The distance formula between two points (x1, y1) and (x2, y2) is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can calculate the distance between C(5, 8) and P(2, 4):
d = √((2 - 5)^2 + (4 - 8)^2)
= √((-3)^2 + (-4)^2)
= √(9 + 16)
= √25
= 5
Therefore, the distance between C(5, 8) and P(2, 4) is 5 units, which is equal to the radius of the circle.
Hence, the correct answer is option 'A' - 5 units.
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If the point P(2, 4) lies on a circle, whose centre is C(5, 8), then the radius of the circle isa)5 unitsb)25 unitsc)4 unitsd)8 unitsCorrect answer is option 'A'. Can you explain this answer?
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