as a part of a compaign , a huge balloon with message of awarenesd of cancer was displayed from the terrace of a tall building . it was held by string of lenght 8 m each , which inclined at an angle of 60 at the point , where it was tiedas shown in figure .
what is the lenght of AB
if the perpendicular drawn from the centre of the circle to the chord is 3 cm find the radius of circle .
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length of AB = 8 m & the radius of circle = 5 m
Step-by-step explanation:
PA = PB = 8 m
∠APB = 60°
AB² = PA² + PB² - 2PA*PBCos∠APB
=> AB² = 8² + 8² - 2 * 8*8Cos60
=> AB² = 8² + 8² - 2 * 8*8(1/2)
=> AB² = 8² + 8² - 8²
=> AB² = 8²
=> AB = 8 m
length of AB = 8 m
Let say Radius of Circle = R m
OM ⊥ AB & OM = 3 m
AM = BM = AB/2 = 8/2 = 4 m
OA² = AM² + OM²
=> R² = 4² + 3²
=> R² = 16 + 9
=> R² = 25
=> R = 5
the radius of circle = 5 m
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