9. a regular hexagon is inscribed in a circle with a radius of 7. find the perimeter and area of the hexagon.

Step-by-step explanation:

The side length of the hexagon is equal to its radius: 7. The perimeter is 6 side lengths, so is

  perimeter = 6·7 = 42 . . . units

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The area is half the product of the perimeter and the apothem. The apothem is cos(30°) = (√3)/2 times the side length, so is (7√3)/2.

  A = 1/2·perimeter·apothem

  area = (1/2)(42)(7√3)/2 = 73.5√3 . . . square units

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x

answer is : muchas/tipicas

have a nice day!

~recklesschicken