Trig: a sector of a circle has area 25 cm2 and - id2522300533, medinacamila1129

Ответ:

damiangomzzz903

02.01.2022

Radius = 10 cm and Arc length = 5 cm

Step-by-step explanation:

The area of a sector with radius r and central angle $\theta$ (In radian) is given by :-

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

Given : A sector of a circle has area 25 cm^2 and central angle 0.5 radians.

Let r be the radius , then we have

$25=\dfrac{1}{2}r^2(0.5)\\\\\Rightarrow\ r^2=\dfrac{2\times25}{0.5}\\\\\Rightarrow\ r^2=\dfrac{50}{0.5}=100\\\\\Rightarrow\ r=\sqrt{100}=10\ cm$

Thus, radius = 10 cm

The length of arc is given by :-

$l=r\theta=10\times0.5=5\ cm$

Hence, the length of the arc = 5 cm

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geometryishard13

04.01.2021

1/5

Step-by-step explanation:

(-4, -3) (1, -2) (6, -1) (11, 0)

Rise/Run

y2-y1/x2-x1

(0-(-1))/(11-6) = 1/5

The same formula can be used with any points. Meaning, the point will rise one and "run" to the right five units.

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