Mathematics: Ineed on #16 and #14, when i did question 15 it was fine but i keep running into problems on how to solve 14 and 16

Ineed on #16 and #14, when i did question 15 it

Ответ:

angelaencinas90

13.03.2022

General formula to find the area of a circle
$\boxed{a= \pi \times r^{2}}$
To find a sector area of a circle
$\boxed{\text{sector}= \dfrac{\text{sector in degrees}}{360^{0}} \times \pi \times r^{2}}$

NUMBER 14
Given information:
r = 12 cm
degree of sector = 110° (use the angle on the shaded area)

The area of the sector:
$\text{sector}= \dfrac{\text{sector in degrees}}{360^{0}} \times \pi \times r^{2}$
$\text{sector}= \dfrac{110^{0}}{360^{0}} \times \pi \times 12^{2}$
$\text{sector}= \dfrac{11}{36} \times \pi \times 144$
$\text{sector}= \dfrac{1584}{36} \pi$
$\text{sector}= 44 \pi$
sector = 44 × 3.14
sector = 138.16

The area is 44π ≈ 138.16 cm²

NUMBER 16
Given information:
r = 30 yards
degree of sector = 15° (use the angle on the shaded area)

The area of the sector:
$\text{sector}= \dfrac{\text{sector in degrees}}{360^{0}} \times \pi \times r^{2}$
$\text{sector}= \dfrac{15^{0}}{360^{0}} \times \pi \times 30^{2}$
$\text{sector}= \dfrac{1}{24} \times \pi \times 900$
$\text{sector}= \dfrac{900}{24} \pi$
$\text{sector}= 37.5 \pi$
sector = 37.5 × 3.14
sector = 117.75

The area is 37.5π ≈ 117.75 yd²

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Ineed on #16 and #14, when i did question 15 it was fine but i keep running into problems on how to solve 14 and 16

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