Question

Case Study based-2


A farmer has a circular garden as shown in the
picture below. He has different type of trees, plants
and levexinplants in his garden. In the garden, there are two
mango trees A and B at a distance of AB = 10 m. Similarly, he
has 2 Ashoka trees at the same distance of 10 m as shown at
C and D AB subtends <AOB = 120° at the
center O. The perpendicular distance of AC from center is 5
m. The radius of the circle is 13 m.

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Answer 1

Answer:

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akankshmahodayi

05.01.2021

Math

Secondary School

answered

A farmer has a circular garden as shown in the picture, which

has different types of trees, plants and flowers. In the garden

there are two mango trees A and B such that AB = 10m.

Similarly there are two ashoka trees C and D at the same

distance 10m. AB subtends 120o

at the centre O and AC is at a

distance of 5m from the centre. The radius of the circle is 13m.

(a) What is the angle subtended by CD at the centre O?

(b) What is the distance between mango tree A and ashoka

tree C?

(c) Find ∠OCD