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den301095 [7]
3 years ago
14

How do I find the value of theta given to area of the sector and the radius

Mathematics
1 answer:
stira [4]3 years ago
7 0
\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=24\\
A=90
\end{cases}\implies 90=\cfrac{\theta \pi 24^2}{360}\implies 90=\cfrac{\theta \pi 576}{360}
\\\\\\
90=\cfrac{8\theta \pi }{5}\implies 450=8\theta \pi \implies \cfrac{450}{8\pi }=\theta \implies \cfrac{225}{4\pi }=\theta \\\\\\ 17.904931 \approx \theta
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Answer:

the no of puppets that could be made with his string is 21

Step-by-step explanation:

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Answer:

9 labours

Step-by-step explanation:

In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.

In indirect proportion, if one quantity increases, the other decreases and vice versa.

As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.

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