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hello can you help me solve this trigonometry problem and in the question it notes report answer accurate to a 4 decimal places (do not use pi or the sign of pi for this problem)

Hello Can You Help Me Solve This Trigonometry Problem And In The Question It Notes Report Answer Accurate To A 4 Decimal Places Do Not Use Pi Or The Sign Of Pi class=

Sagot :

Let's begin by listing out the information given to us:

[tex]\theta=4.07,r=3.4\operatorname{cm}[/tex]

The area of a sector is given by the formula:

[tex]\begin{gathered} A=\frac{1}{2}r^2\theta \\ where\colon\theta=radians \end{gathered}[/tex]

We will sustitute the values for central angle & radius into the formula to solve

[tex]\begin{gathered} A=\frac{1}{2}r^2\theta \\ \theta=4.07,r=3.4\operatorname{cm} \\ A=\frac{1}{2}\cdot3.4^2\cdot4.07 \\ A=\frac{1}{2}\cdot47.0492=23.5246 \\ A=23.5246\operatorname{cm}^2 \end{gathered}[/tex]

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