A circle has an arc of 45 degrees and a radius of 6cm. What is its arc length?
Answers
Step-by-step explanation:
Radius = 6cm.
central \: angle \: = {45}^{0}centralangle=45
0
we \: know \: thatweknowthat
length \: of \: an \:a rclengthofanarc
= \frac{central \: angle}{360} \times 2\pi r=
360
centralangle
×2πr
= \frac{45}{360} \times 2 \times 3.14 \times 6=
360
45
×2×3.14×6
= \frac{1}{8} \times 3.14 \times 12=
8
1
×3.14×12
= \frac{1}{8} \times 37.68=
8
1
×37.68
= 4.71cm=4.71cm
--------------------------------------
length of an arc = 4.71cm.
--------------------------------------
Area of sector = 1/2 × r × l
= 1/2 × 6 × 4.71
= 3 × 4.71
= 14.13 sq. cm.
-------------------------------------------
Area of sector = 14.13 sq. cm
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hope \: this \: helpshopethishelps
Answer:
4.71
Step-by-step explanation:
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