Question

1.43 A Group of students of the heritage club of college took up the work of restoring and old
circular shaped monument in their neighbourhood. To help them in their work a rope of 10 m
length was tied from the edge of circular dome to a pole tangentially which is 26 m from the
centre of the dome. What is the radius of the circular dome? What values are depicted by
student in this initiative?


please fast​

Answer 1

Given : a rope of 10 m  length was tied from the edge of circular dome to a pole tangentially which is 26 m from the  centre of the dome.  

To find : radius of the circular dome

Solution:

Rope was tied tangentially  Hence

Rope length = 10 m   & Radius of Dome are perpendicular to each other

& Distance of pole from center of circular dome  = Hypotenuse  = 26 m

Apply Pythagoras theorem

26² = (radius)² + 10²

=>  (radius)²  = 26² - 10²

=>  (radius)²  =(26 + 10)(26 - 10)

=>  (radius)²  =(36)(16)

=>  (radius)²  =(6²)(4²)

=> radius = 6 * 4

=> radius = 24 m

radius of the circular dome  = 24 m

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