A circle with diameter of 30 cm has a cord of 24 cm, then the distance of the cord from the center is......
Answers
Answer:
9 cm..
Step-by-step explanation:
Hope it will helpp...
Answer:
The distance of the chord from the center is 9 cm.
Step-by-step explanation:
Given : A circle of 30 cm diameter has a 24 cm chord.
To find : What is the distance of the chord from the center ?
Solution :
Diameter of circle = 30 cm
Radius of circle = 15 cm
Chord length = 24 cm
Using theorem perpendicular from the center bisect the chord the chord is bisected at 90 degree.
So the two parts of line is 12 cm each.
Applying Pythagoras theorem,
\text{Radius}^2=\text{One side of chord}^2+\text{Distance}^2Radius
2
=One side of chord
2
+Distance
2
15^2 = 12^2 + \text{Distance}^215
2
=12
2
+Distance
2
225 = 144 + \text{Distance}^2225=144+Distance
2
\text{Distance}^2=225-144Distance
2
=225−144
\text{Distance}^2=81Distance
2
=81
\text{Distance}=\sqrt{81}Distance=
81
\text{Distance}=9Distance=9
Therefore, the distance of the chord from the center is 9 cm.
#Learn more
Diameter of a circle is 26 CM. and length of a chord of the circle is 24 CM. Find the distance of the chord from the center.