Answer:
radius = 8.5 in
Step-by-step explanation:
the diagonal of the tablecloth will be the diameter of the table.
diagonal² = 15² + 8² = 225 + 64 + 289
diagonal = √289 = 17 in
radius = 17/2 = 8.5 in
The diameter of the table is 17 inches (0.43 m). Then the radius of the circular table will be 8.5 inches (0.22 m).
The radius of a circle is the distance between the center and the circumference.
It is a polygon with four sides. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.
A 15-inch by 8-inch tablecloth is placed on a circular table.
Each of the four corners of the tablecloth touch the edge of the table.
That is shown in the diagram.
The diameter d is measured by the Pythagoras theorem.
d² = 15² + 8²
d² = 225 + 64
d² = 289
d² = 17²
d = 17 inches
The diameter of the circle is 17 inches.
The radius is the half of the diameter. Then the radius will be
r = d / 2
r = 17 / 2
r = 8.5 inches
Thus, the radius of the circular table will be 8.5 inches.
More about the circle link is given below.
https://brainly.com/question/11833983
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