Math, asked by piggydolu8540, 1 year ago

a school wants to conduct tree plantation programme radius of ground is 6m four students plant trees at 4 points a ,b ,c,d as shown ab=8cm cd=10cm and another student plant tree at point intersection of ab and cd find distance of centre from p

Answers

Answered by amitnrw
4

distance of centre from p = √31  cm

Step-by-step explanation:

Let draw OM ⊥ AB   & ON ⊥ CD

OM ⊥ AB  => AM = BM = AB/2 = 8/2 = 4 cm

ON ⊥ CD => CN = DN = CD/2 = 10/2 = 5cm

OA = OB = Radius = 6 cm

OM² = OA² - AM² =  6² - 4²  = 36 - 16 = 20

ON² = OD² - DN² = 6² - 5² = 36 - 25 = 11

OMPN is a rectangle

=> OP² = OM² + ON²

=> OP² =  20 + 11

=> OP² =  31

=> OP = √31

distance of centre from p = √31  cm

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