The figure shows the height, h, of a thrown ball as a function of time. Height is measured in feet and time is measured in secon
ds. How long will it take for the ball to return to the ground? 40 30 Height in Feet 20 10 1 2 3 4 5 Time in Seconds A 2.5 seconds C 5.0 seconds B 3.5 seconds D 35.0 seconds
1 answer:
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Let AB be a chord of the given circle with centre and radius 13 cm.
Then, OA = 13 cm and ab = 10 cm
From O, draw OL⊥ AB
We know that the perpendicular from the centre of a circle to a chord bisects the chord.
∴ AL = ½AB = (½ × 10)cm = 5 cm
From the right △OLA, we have
OA² = OL² + AL²
==> OL² = OA² – AL²
==> [(13)² – (5)²] cm² = 144cm²
==> OL = √144cm = 12 cm
Hence, the distance of the chord from the centre is 12 cm.
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