The length of a chord is 22 cm and that chord is 5 cm from the center of the circle. What is the length of the diameter ?
1 answer:
Answer:
The circle's diameter is approximately 24.2 cm
Step-by-step explanation:
You can use the Pythagorean theorem to solve this, my realising that the 5cm distance of the chord represends one side of a right triangle, half the chord's length is the other side, and the hypotenuse of the two is the circle's radius. With that we can say:
r = √(11² + 5²)
r = √(121 + 25)
r = √146
Now we can double that to get the diameter:
r = 2√146
r ≈ 24.2
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