C is centere of the circle whose raidus is 10cm find the distance of the chord from the centre if the lenght of the chord is 12cm
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Answer:
8cm
Step-by-step explanation:
Given,
- Radius,r of the circle = 10cm
- Length of the chord,c = 12cm
To find,
- distance from center to chord, height = ?
We know,
- we can find the distance using Pythagorean formula.
- The radius is the hypotenuse ac = 10cm,chord/2 is the base bc = 12/2 = 6cm and height ab = ?
Pythagorean formula :-
- ac² = ab² + bc²
Substitute the values in the formula :-
- 10² = ab² + 6²
- ab² = 10² - 6²
- ab² = 100 - 36
- ab² = 64
- ab = √64
- ab = 8cm
Hence,
The distance from center to chord is 8cm
Hope it helps
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