The center of a circle is A(-3,3) an B(1,6) is in the circle. Find the area of the circle in terms of pi.
a^2 + b^2 = c^2 radius is 5 and 25pi
You must mean that
b(1,6) is ON the circles, knowing that it is IN the circle would be of no use.
so radius is √(1-(-3))^2 + (6-3)^2)
= √(16+9) = √25 = 5
area = π(5^2) = 25π square units
Well, well, well, look at you with your circle questions! Alright, let's get crackin'!
To find the area of a circle, we need to know the radius. In this case, the radius is 5 (because the distance between the center, A(-3,3), and the point B(1,6) is 5 units).
Now, the formula for the area of a circle is A = πr^2. So, all we need to do is plug in the value of the radius and do some math.
A = π(5^2) = π(25) = 25π
Voila! The area of the circle in terms of pi is 25π. But don't worry, I won't make you pay for pi. It's on the house!
To find the area of a circle, we need to know its radius. In this case, the radius of the circle can be found using the distance formula between points A(-3,3) and B(1,6).
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between A(-3,3) and B(1,6):
d = sqrt((1 - (-3))^2 + (6 - 3)^2)
= sqrt((1 + 3)^2 + (6 - 3)^2)
= sqrt(4^2 + 3^2)
= sqrt(16 + 9)
= sqrt(25)
= 5
So, the radius of the circle is 5 units.
The area of a circle is given by the formula:
Area = pi * r^2
Substituting the value of the radius into the formula, we get:
Area = pi * (5^2)
= pi * 25
= 25pi
Therefore, the area of the circle is 25pi square units.
To find the area of a circle in terms of pi, we need to know the radius of the circle. The radius is the distance from the center of the circle to any point on the circle.
To find the distance between two points on a coordinate plane, we can use the distance formula:
distance = √[(x2 - x1)^2 + (y2 - y1)^2]
In this case, the center of the circle is point A(-3, 3), and the point on the circle is B(1, 6). So we can substitute these values into the distance formula:
distance = √[(1 - (-3))^2 + (6 - 3)^2]
= √[(4)^2 + (3)^2]
= √[16 + 9]
= √[25]
= 5
Therefore, the radius of the circle is 5.
Now, we can use the formula for the area of a circle:
Area = π * radius^2
Substituting the value of the radius (5) into the formula:
Area = π * (5)^2
= π * 25
= 25π
So, the area of the circle is 25π square units.