Question

Question 14 of 25 The image shows the location of ladders around a circular pool. 10 C 8 2 0 2 B (6y-2 85 -12 -10 0 2 Cody walks clockwise around the pool from point D to point E. How many degrees of arc does he walk? If your answer is a decimal, express your answer to the nearest hundredth. ​

Answer 1

The degrees of arc which Cody he walks clockwise around the pool from point D to point E is 105 degrees.

What is inscribed polygon in circle?

The inscribed polygon in a circle is the polygon of which each corner point is on the circle.

The image shows the location of ladders around a circular pool. Cody walks clockwise around the pool from point D to point E. In the given image the value of x i,

$2x+8=86\\2x=86-8\\x=\dfrac{78}{2}\\x=39^o$

Thus, the angle C and angle B are the supplementary angle. Thus,

$m\angle C=m\angle D\\7y-4=360-(3y-6)\\7y+3y=360+6+4\\10y=370\\y=37$

3y-6 is the inscribed angle which intercept the arc DE. Thus,

$\text {arc } DE= 3y-6\\\text {arc } DE= 3(37)-6\\\text {arc } DE= 105$

Thus, the degrees of arc which Cody he walks clockwise around the pool from point D to point E is 105 degrees.

Learn more about the inscribed polygon in circle here;

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