Question

You are standing at point B. Point B is 21 feet from the center of the circular water storage tank and 20 feet from point A. \frac{ }{AB} A B is tangent to \odot ⊙ O at A. Find the radius of the tank.

Answer 1

Answer:

r = 6.40 feet

Step-by-step explanation:

Given line AB is tangent to circle O at point A, this means ∡OAB = 90°

Hence this is a right angle triangle and we can use the Pythagorean theorem.

r² + 20² = 21²

r²  = 21² - 20²

r²  = 441 - 400

r²  = 41

r  = √41 = 6.40 feet

Answer 2

The radius of the tank is = 6.4ft

Calculating the radius of a tank (circle)

The radius of the circle can be calculated using the Pythagorean theorem since a distance in of AB and OB where given.

The formula c²= b²+a²

Where b²= AB = 20ft

a²= AO= r

c² = OB = 21ft

Make a² the subject of formula

a² = c²-b²

= 21² - 20²

= 441-400

= 41

a= √41

a= 6.4ft

Therefore, the radius of the tank is = 6.4ft

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