The length of the chord of a circle is 8 cm and
perpendicular distance between centre and the
chord is 3 cm. Then, the radius of the circle is
equal to
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Answered by
9
Answer:
5
Step-by-step explanation:
The line from the centre and perpendicular to the chord bisects the chord. So:
- half the chord (length 4)
- the perpendicular line from the centre to the chord (length 3)
- the radius from the centre to and end of the chord
together form a right angled triangle with legs of length 3 and 4. The radius is the hypotenuse with length
√( 3² + 4² ) = 5
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