Do the ratios 3/4 and 6/8 form a proportion
1 answer:
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The general equation of the circle is:
(h,k) is the center of the circle and r is the radius. We are given the coordinates of the center. So we can write the equation of the circle as:
In order to complete the equation, we need the radius of the circle. Using the given point we can find the radius. Using the point in the above equation, we get:
Thus the value of r² is 125. Using the value in equation of the circle, we get:
The radius of the circle is √125.
(h,k) is the center of the circle and r is the radius. We are given the coordinates of the center. So we can write the equation of the circle as:
In order to complete the equation, we need the radius of the circle. Using the given point we can find the radius. Using the point in the above equation, we get:
Thus the value of r² is 125. Using the value in equation of the circle, we get:
The radius of the circle is √125.
Answer: 0.8 radians
Step-by-step explanation:
To solve this exercise you must apply the formula shown below:
Where S is the arc lenght, r is the radius of the circle and is the central angle in radians.
Solve for the central angle:
Now, when you susbtitute the value of the arc length and the radius, you obtain that the central angle is: