The area of the circle centred at 12 and passing through 4, 6 is
Answers
Answer:
78.5 square unit
Step-by-step explanation:
I think question is like this ,
Find the area of circle whose centre is at ( 1 , 2 ) and which passes through point ( 4 , 6 )
Solution--->
Coordinate of centre of circle = ( 1 , 2 )
ATQ , circle passes throug the point whose coordinate is ( 4 , 6 ) .
It means this point is on the circumference of centre of circle , so distance of this point from centre of circle is equal to radius of given circle.
Radius of given circle = Distance between centre of circle ( 1 , 2 ) and point ( 4 , 6 )
Formula of distance between two points (x₁, y₁) and (x₂, y₂) is
distance = √{ ( x₁ - x₂ )² + ( y₁ - y₂ )² }
Applying it here , we get,
Radius of circle= √{( 1 -4 )² + ( 2 - 6 )²}
= √{ ( -3 )² + ( -4 )² }
= √( 9 + 16 )
= √25
Radius of circle = 5 unit
Now we know that , area of circle = πr²
= π ( 5 )²
= π ( 25 )
= 3.14 × 25
Area of circle = 78.5 square unit
78.5 square unit
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