A circle has a radius of 9 cm and a sector of the circle has an arc length of 9. 7cm

Mathematics

1 answer:

frutty [35]3 years ago

7 0

Answer:

S = R θ where θ is in radians

If θ = 2 pi then S = 2 pi R the circumference of the circle

θ = S / R = 9.7 / 9 = 1.08 rad

Since 1 rad = 360 / (2 pi) = 57.3 deg

the angle included = 1.08 rad * 57.3 deg/rad = 61.9 deg

You might be interested in

Is there anyone that can help me with this problem ???

zepelin [54]

Answer: if u a math person shouldn't u know how to do it?

Step-by-step explanation:

5 0

4 years ago

Pls help i am stuck no links in the answer

yarga [219]

22 degrees; you can subtract 180-158 to get the measure of U and U is equal to S because of parallel lines

7 0

3 years ago

Read 2 more answers

What fraction describes how much more of<br><br> the trail Jon hiked than Andrea hiked?

34kurt

What is the whole question

3 0

3 years ago

What are mixed numbers

Colt1911 [192]

Mixed numbers are fractions with a whole number.

For example, 1 2/4, 2/8, and 7 7/8 are mixed numbers.

Hope it helps

5 0

3 years ago

Read 2 more answers

Show that 2x +1 is a factor of 2x3 +5x2+4x+1 and factories completely

larisa [96]

$\text{According to the factor theorem, if f(b) = 0, then x-b is a factor of f(x).}\\\\\text{Given that,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\f\left(-\dfrac 12 \right) = 2\left( - \dfrac 12 \right)^3 +5 \left( - \dfrac 12 \right)^2 +4 \left( - \dfrac 12 \right) +1 \\\\\\~~~~~~~~~~~~=-2 \cdot \dfrac 18 + 5 \cdot \dfrac 14 -2 +1 \\\\\\~~~~~~~~~~~=\dfrac 54 -\dfrac14 -1\\\\\\~~~~~~~~~~~=\dfrac 44 -1 \\\\\\~~~~~~~~~~~=1-1\\\\\\~~~~~~~~~~~=0\\\\\text{So,}~ 2x +1 ~ \text{is a factor of f(x).}$

$\text{Now,}\\\\f(x) = 2x^3 +5x^2 +4x +1 \\\\~~~~~~=2x^3+x^2 +2x^2 +2x +2x+1\\\\~~~~~~=x^2(2x+1) +2x(2x+1) + (2x+1)\\\\~~~~~~=(2x+1)(x^2 +2x +1)\\\\~~~~~~=(2x+1)(x+1)^2$

3 0

2 years ago