Question

An architect used this diagram to design a curved balcony. She drew a circle with a radius of 40 feet and a central angle of 70° to determine the length of railing needed for the balcony.

Answer 1

49FT. LENGTH=ANGLE OVER 360 x 2pi
              
                        = 70 over 360 x 2pi (40)


                        = 48.9 = 49FT.

Answer 2

If the radius of the circle is 40 feet and the central angle is 70°. Then the length of the railing needed for the balcony will be 49 feet.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

An architect used this diagram to design a curved balcony. She drew a circle with a radius of 40 feet and a central angle of 70°.

Then the length of railing needed for the balcony will be

$\rm Balcony \ length = \dfrac{70^o}{360^o} \times 2\pi \times 40\\\\\\Balcony \ length = 48.8692\\\\\\Balcony \ length \approx 49 \ ft$

More about the circle link is given below.

https://brainly.com/question/11833983

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