Respuesta :
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
[tex]\rm Balcony \ length = \dfrac{70^o}{360^o} \times 2\pi \times 40\\\\\\Balcony \ length = 48.8692\\\\\\Balcony \ length \approx 49 \ ft[/tex]
More about the circle link is given below.
https://brainly.com/question/11833983
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