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2 years ago

What is the perimeter of the figure

Mathematics

1 answer:

anastassius [24]2 years ago

6 0

Answer:

Option A.

$P=73.4\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In this problem we have a triangle with a circle inscribed in it

$A.F=A.B\\C.B=C.D\\E.F=E.D$

step 1

Find the length side B.C

$C.B=A.C-A.B$

substitute the given values

$C.B=23-14=9\ units$

step 2

Find the length side C.D

Remember that

$C.D=C.B$

therefore

$C.D=9\ units$

step 3

Find the length side E.D

we know that

$E.D=E.C-C.D$

substitute the given values

$E.D=22.7-9=13.7\ units$

step 4

Find the length side E.F

Remember that

$E.F=E.D$

therefore

$E.F=13.7\ units$

step 5

Find the length side A.F

Remember that

$A.F=A.B$

therefore

$A.F=14\ units$

step 6

Find the perimeter

$P=23+22.7+13.7+14$

$P=73.4\ units$

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Read 2 more answers

Convert the angle \theta=\dfrac{8\pi}{9}θ=

Nikolay [14]

Answer:

$160^\circ$ is the degrees value of $\theta = \dfrac{8 \pi}{9}$ .

Step-by-step explanation:

We are given the following details about the angle $\theta$ :

$\theta =\dfrac{8\pi}{9}\text{ radians}$

It is know that the relation between radians and degree units is as follows:

$\pi \text{ radians} = 180 ^\circ$

We can use simply use unitary method to convert radian value of $\theta$ to degrees.

$\pi \text{ radians} = 180 ^\circ$

$\Rightarrow 1 \text { radian}= \dfrac{\pi}{180} ^\circ$

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