Question

B. Attempt the following: 1) The diameter of a circle is 50 cm and the length of the chord is 40 cm. Find the distance of the chord from the centre. ​

Answer 1

Answer:

Assume that circle has center O and chord AB of length 20cm.

ANSWERAssume that circle has center O and chord AB of length 20cm.It is clear that △OAB is an equilateral triangle as all its sides are of the same length. (OA and OB are radii of the circle)

ANSWERAssume that circle has center O and chord AB of length 20cm.It is clear that △OAB is an equilateral triangle as all its sides are of the same length. (OA and OB are radii of the circle)∴∠AOB=60∘ (angle subtended by minor arc at center)

ANSWERAssume that circle has center O and chord AB of length 20cm.It is clear that △OAB is an equilateral triangle as all its sides are of the same length. (OA and OB are radii of the circle)∴∠AOB=60∘ (angle subtended by minor arc at center)∴ length of minor arc(AB)=360∘∠AOB×2πr=61×40π=20.94cm

Step-by-step explanation: