Part C What is the total perimeter of Kayla's garden including the walkway if the walkway is 1.5 ft wide? (Show
your work on a separate sheet of paper)
The total perimeter is
feet
e

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Ответ:

bracefacer42

09.04.2020

Mathematics

$\theta=\dfrac{4\pi}{9}$ .

Step-by-step explanation:

Given information:

Radius = 10 feet

Area = $\frac{200\pi}{9}$ sq. ft. ...(i)

We need to find the measures of the central and inscribed angels for this sector.

The area of a sector is

$A=\dfrac{1}{2}r^2\theta$

where, r is radius and $\theta$ is central angle in radian.

Substitute r = 10 in the above formula.

$A=\dfrac{1}{2}(10)^2\theta$

$A=50\theta$ ...(ii)

From (i) and (ii), we get

$50 \theta=\dfrac{200\pi}{9}$

$\theta=\dfrac{200\pi}{9\times 50}$

$\theta=\dfrac{4\pi}{9}$

Therefore, the measure of central angle is $\dfrac{4\pi}{9}$ .

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Part C What is the total perimeter of Kayla's garden including the walkway if the walkway is 1.5 ft wide? (Show your work on a separate sheet of paper) The total perimeter is feet e