Question

A door of width 6 feet has an arc of 2 feet height above it. Find the radius of the arc.

Answer 1

Answer:

Radius is 3.25 m

Step-by-step explanation:

The radius of arch is expressed as r = 2+h

Here, the Pythagoras theorem on right angled triangle  is applied which written as,

$r^{2} = h^{2} + 3^{2}$

$(r+h)^{2} = h^{2} + 3^{2}$

By equating above equation we can first solve the value of h

h = 1.25 m

Therefore, the radius can be calculated as

radius = 2+h

= 2 + 1.25

= 3.25 m