Find the radius of a circle if a 48-meter chord is 7 meters from the center. *
1 answer:
Answer:
The radius of the circle is 25m
Step-by-step explanation:
Here, we are to calculate the radius of the circle.
The distance from the circle center, the half the length of the chord and the radius forms a right triangle with the radius being the hypotenuse.
We can then use Pythagoras’s theorem to approximate the value of the radius
Mathematically, the Pythagorean theorem establishes that the square of the hypotenuse = the sum of the squares of the other two sides
r^2 = 7^2 + 24^2
r^2 = 49 + 576
r^2 = 625
r = √(625)
r = 25m
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