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3 years ago

15

In a circle with a radius of 8 ft, an arc is intercepted by a central angle of 3π4 radians.

2 answers:

sineoko [7]3 years ago

8 0

We know that

the length of a circumference=2*pi*r
for r=8 ft
the length of a circumference=2*pi*8---------> 16π ft

if 2π radians (full circle)-------------------> has a length of 16π ft
3π/4 radians-------------------------------> X
X=3π/4*16π/2π-------------> X=6π<span> ft

the answer is
6</span>π ft

frez [133]3 years ago

7 0

Answer:

(C) $6{\pi}ft$ .

Step-by-step explanation:

It is given that In a circle with a radius of 8 ft, an arc is intercepted by a central angle of $\frac{3\pi}{4}$ radians. Then the length of the arc is given by:

Length of the arc=radius×angle in radians

⇒Length of the arc= $8{\times}\frac{3\pi}{4}$

⇒Length of the arc= $6{\pi}ft$

Therefore, the length of the arc is $6{\pi}ft$ .

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2 years ago

Janelle has 5 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the

VikaD [51]

Answer:

The distance cover by him walking back is 11.25 miles

Step-by-step explanation:

Given as :

Time for Janelle to spend on training = 5 hours

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Let The distance for running and walking is same i.e D miles

SO, Time = $\frac{Distance}{Speed}$

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3 years ago

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irakobra [83]

Answer:

1.

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A: TU= 38

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C: UZ= 15

D: WV= 15

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Step-by-step explanation:

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2 years ago

Help please!!!Which of the quadratic functions has the narrowest graph? 1)y=9x^2 2)y=-0.9x^2 3)y=-10x^2 4)y=2/5x^2

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3 years ago

Angle F and angle G are complementary . The measure of angle F is three times the measure of angle G. What is the measure of eac

weqwewe [10]

Answer:

$g$ = 22.5°

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Step-by-step explanation:

Let’s create a system of equations for $f$ and $g$ .

Complementary angles are two angles that add up to 90°, so $f+g=90$

Also, $f$ is thrice of g: $f=3g$

We can now substitute $3g$ in $f+g=90$ for $f$ .

$3g + g = 90\\\\4g = 90\\\\g=22.5$

Now, we can find $f$ by substituting $g$ into either equation.

$f + 22.5 = 90\\\\f = 90-22.5\\\\f = 67.5$

Hope this helped!

3 0

3 years ago