Use the given information to find the area of each labeled sector in the followi...

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October 2022 1 3 Report

Use the given information to find the area of each labeled sector in the following circles. round to the nearest hundredth s

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Frost27

$\underline{\mathbb{ANSWER:}}$

$\qquad \small\:\quad \rm {a. \: 9.42 \: in {}^{2} }$

$\qquad \small \:\quad \rm {b. \: 128.21 \: ft }$

$\qquad \small \:\quad \rm {c. \: 153 }8.6 \: mi {}^{2}$

$\qquad \small \:\quad \rm {d. \: 141.3 \: cm {}^{2} }$

$\qquad \small \:\quad \rm {e. \: 327.08 \: yd {}^{2} }$

$\green{••••••••••••••••••••••••••••••••••••••••••••••••••}$

$\underline{\mathbb{SOLUTION:}}$

Use the given information to find the area of each labeled sector in the following circles. round to the nearest tenth.

$\rm a.) Area = \frac{θ}{360} \pi r {}^{2}$

$\: \: \: \: \: \rm Area = \frac{120}{360} \times 3.14 \times (3) {}^{2}$

$\: \: \: \: \: \rm Area = {\boxed{{{\green{9.42 \: in²}}}}}$

$\rm b.) \: Area = \frac{75}{360} \times 3.14 \times (14) {}^{2}$

$\: \:\: \: \: \: \rm Area = {\boxed{{{\green{128.21 \: ft {}^{2} }}}}}$

$\rm c.) \: Area = \frac{100}{360} \times 3.1 \times (42) {}^{2}$

$\: \: \: \: \: \:\rm Area = {\boxed{{{\green{1538.6 \: mi {}^{2} }}}}}$

$\rm d.) \: Area = \frac{72}{360} \times 3.14 \times (15) {}^{2}$

$\:\: \: \: \: \: \rm Area = {\boxed{{{\green{141.3 \: cm {}^{2} }}}}}$

$\rm e.) \: Area = \frac{60}{360} \times 3.14 \times (25) {}^{2}$

$\: \: \: \: \:\:\rm Area = {\boxed{{{\green{327.08 \: yd {}^{2} }}}}}$

$\green{••••••••••••••••••••••••••••••••••••••••••••••••••}$

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