a rectangle is inscribed in a circle of radius r. if the rectangle has length 3x, write the area of the rectangle as the product

Question

Kipish [7]

2 years ago

8

a rectangle is inscribed in a circle of radius r. if the rectangle has length 3x, write the area of the rectangle as the product

of two function in terms of x and r

Mathematics

1 answer:

svetlana [45] · Answer 1 · 2022-07-18T12:50:00+03:00

Based on the given condition, since the rectangle is inscribed in a circle given the length to be 3x, the width can be approximated by taking the right triangle formed by the radius and the w/2, sin 45 = w/2/r, which is equal to w = 2r sin45, therefore the Area of the inscribed rectangle = LxW = (3x)(2rsin45)