Mathematics: Let BC=CD=12cm, and the length of arc BD=15cm. Find the area, in square centimeters, of sector BCD.

what he said makes the most sense...

Let BC=CD=12cm, and the length of arc BD=15cm. - id121513537591, nelyanariba981p555ve

ethans5

27.06.2021

option b : 90 sq. cm

Step-by-step explanation:

1) Area of circle with radius = 12cm

Area = π r^2

= 3.14 * (12) (12)

= 3.14 * 144

= approx 452.4

2) Circumference of circle with radius = 12cm

Circumference = 2πr

= 2 * 3.14 * 12

= approx 75 .4

3) Arc length = 15cm ......(given)

$\frac{area \: of \: sector}{total \: area} = \frac{arc \: length}{circumference}$

$\frac{area \: of \: sector}{452.4} = \frac{15}{75.4}$

$area \: of \: sector \: = \frac{15 \times 452.4}{75.4}$

$= \frac{6786}{75.4}$

$= 90 {cm}^{2}$

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