The endpoints of the diameter of a circle are at (1,2) and (7,-6). What is the circumference of the circle, to the nearest tenth of a unit.
the length of the diameter is
√((7-1)^2+(-6-2)^2) = 10
Now you can find the circumference, right?
31.4
To find the circumference of a circle, we need to know its radius. In this case, we can find the radius by finding the distance between the two endpoints of the diameter.
Using the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's plug in the coordinates:
Distance = √((7 - 1)^2 + (-6 - 2)^2)
= √(6^2 + (-8)^2)
= √(36 + 64)
= √100
= 10
Therefore, the distance between the two endpoints is 10 units.
Now, we know that the diameter of the circle is 10 units. The formula to find the circumference of a circle is:
Circumference = π * diameter
Using π as approximately 3.14:
Circumference = 3.14 * 10
= 31.4
So, the circumference of the circle is approximately 31.4 units, to the nearest tenth of a unit.
To find the circumference of a circle, you need to know its radius or diameter. In this case, we are given the endpoints of the diameter of the circle, which are (1,2) and (7,-6).
To find the distance between two points, we can use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distance between the two endpoints first:
Distance = √((7 - 1)^2 + (-6 - 2)^2)
= √(6^2 + (-8)^2)
= √(36 + 64)
= √100
= 10
Thus, the diameter of the circle is 10 units.
The formula to calculate the circumference of a circle is:
Circumference = π × Diameter
Since we know the diameter is 10 units, we can substitute into the formula:
Circumference = π × 10
Now, to find the value of π to the nearest tenth, we can use the approximation 3.14.
Circumference = 3.14 × 10
= 31.4
Therefore, the circumference of the circle, to the nearest tenth of a unit, is approximately 31.4 units.