In circle E with mZDEF = 62 and DE = 15 units find area of sector DEF. Round to the nearest hundredth. D F E

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28-10-2022
Mathematics

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In circle E with mZDEF = 62 and DE = 15 units find area of sector DEF. Round to the nearest hundredth. D F E

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SydnieN671528 SydnieN671528 · Answer 1 · 2022-10-28T06:22:42+02:00

SydnieN671528 SydnieN671528

28-10-2022

[tex]\begin{gathered} \text{Radius of the circle= DE=}15\text{ units} \\ \text{Angle of sector DEF = 62}^0 \\ \text{Area of sector = }\frac{\theta}{360}\text{ x }\pi r^2 \\ \text{Area = }\frac{62}{360}\text{ x 3.14 x 15 x 15} \\ =121.675 \\ \approx121.68\text{ square units ( nearest hundredth)} \end{gathered}[/tex]

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