Find length of a chord of a circle of radius 5 cm two radii are perpendicular to each other
Answers
Length of the chord
Answer: required length of the chord is 5√2cm that is 7.071 cm.
Explanation:
Need to find the length of the chord of a circle.
Radius of circle = 5 cm
Also two radii are perpendicular to each other.
Since two radius are perpendicular to each other and third side is chord of a circle . We get a right angled traingle with two sides of 5 cm and hypotenuse that is chord need to be determine.
Consider the attached figure where
O is center of circle . OA and OB represents radii of 5 cm and AB is required CHORD.
On Applying pythagoras theorem on right agled traingle Δ OAB we get
AB² = OA² +OB²
=> AB² = 5² + 5²
=> AB² = 25 + 25
=> AB² = 50
=> AB = √50
=> AB = 5√2 = 7.071 cm
Hence required length of the chord is 5√2cm that is 7.071 cm.
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