A chord of a circle is 30 cm. Find the radius of the circle if the shortest distance of the chord from the center of the circle is 8 cm.
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A chord of a circle is 30 cm. Find the radius of the circle if the shortest distance of the chord from the center of the circle is 8 cm.
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Answer:
a=8cm
b=30/2=15
c=radius
use Pythagorean theorem
a²+b²=c²
8²+15²=c²
64+225=c²
289=c² put radical sign
17=c
radius=17cm