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2 years ago

Find the area of this circle

Mathematics

2 answers:

alex41 [277]2 years ago

4 0

Answer:

Area = 78.5

5 goes inside of the question mark box.

Step-by-step explanation:

π5²

5² = 25

3.14*25=78.5

nata0808 [166]2 years ago

4 0

Answer:
78.5 inch^2

Explanation:
Radius = 5 inch

Formula for area of circle = pi x r^2
Hence, pi x 5^2
= pi which is (3.14…) x 25
= 78.53981634
= 78.5

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Find (a) the arc length and (b) the area of a sector.

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Answer:

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b) 58.90 ft² (2 dp)

Step-by-step explanation:

Formula

$\textsf{Arc length}=r \theta$

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Calculation

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$\theta=\dfrac{3 \pi}{2}$
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$\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}$

$\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}$

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Read 2 more answers

Find the area of this circle​

Find the area of this circle