A gazebo is built in the shape of a regular octagon. Each side is 8ft long and the enclosed area is 310.4ft^2. What is the length of the apothem?

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Q: ) Determine the area of the largest rectangle that can be inscribed in a circle of radius 4.

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A: The largest possible are of a rectangle that be found in a circle whose diameter is 4.

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Q: The standard running track size for track and field events is 400 m. The track consists of two…

A: Given that: Size of the track = 400 m Area enclosed = 9430 m2

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.