Question

A farmer has a circular garden as shown in figure
2. He has a different type of tree plant and flowers plants in his garden.
In the garden there are two apples trees A and B at a distance of AB = 20m similarly has two mango trees at the same distance of 20 m as shown at C and D A B subtends angle AOB =120 at the centre O the perpendicular distance of AC from centre is 10 m the radius of the circle is 26 m now answer the following question

Answer 1

Answer:

∠OAB = 30°  

Step-by-step explanation:

Equal chords subtends equal angle at center

Chord AB = Chord CD = 10 m

Hence angle subtended by CD at the centre O = angle subtended by AB at the centre O

=> angle subtended by CD at the centre O =  120°

Distance between A & C

= 2 ( √(13² - 5²)

=  2( 12)

= 24 m

∠OCD = ∠ODC  as OC = OD

=> ∠OCD + ∠ODC + ∠COD = 180°

=> 2∠OCD + 120° = 180°

=> ∠OCD = 30°

∠ODC = 30°

Similarly ∠OAB = 30°