self Maths Puzzle

On a semicircle with diameter AD, chord BC is parallel to AD. Further each of the chords AB and CD has length 2 units, while AD = 8 units. What is the length of BC ?

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self Other Question

A person bought a certain number of oranges for Rs. 70. If the price of each orange was Rs. 2 less, he would have bought 4 more oranges for the same amount. What is the number of oranges he bought originally? Four horses are tethered at four corners of a square plot of side 14 metres (m) so that the adjacent horses can just reach one another. There is a small circular pond of area 20 m2 at the centre. Find the ungrazed
area.?