Mathematics: 70. area a car s rear windshield wiper rotates 125º. the total length of the wiper mechanism is 25 inches and the length of the wiper blade is 14 inches. find the area wiped by the wiper blade.

70. area a car s rear windshield wiper rotates 125º.

Ответ:

sahaitong2552

01.01.2022

Mathematics

The area that is wiped by the blade is required.

The area wiped by the blade is $549.78\ \text{inches}^2$

$\theta$ = Angle of sweep = $125^{\circ}$

r_1 = Distance from the start of the mechanism to the tip of the blade = 25 inches

r_2 = Distance from the start of the mechanism to the beginning of the tip = $25-14=11\ \text{inches}$

Area of sector of circle is

$\dfrac{\theta}{360}\pi r^2$

Area of the wiped region would be

$A=\dfrac{\theta}{360}\pi r_1^2-\dfrac{\theta}{360}\pi r_2^2\\ =\dfrac{\theta}{360}\pi (r_1^2-r_2^2)\\ =\dfrac{125}{360}\pi(25^2-11^2)\\ =175\pi =549.78\ \text{inches}^2$

The area wiped by the blade is $549.78\ \text{inches}^2$

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Ответ:

sanchez9211

01.01.2022

Mathematics

175 square inches

Step-by-step explanation:

Area wiped by the wiper blade = Area covered by the whole wiper mechanism - Area that is not being wiped.

Where area of a sector of 125°Area = 1/2.r^2.thetabut with theta in radians

Area covered of the whole wiper mechanism;

= 1/2 × 25^2 × (25pi/36)...in which (25pi/36) is 125° in radians..

=217.014pi

Area that is not being wiped;

= 1/2 × (25 - 14)^2 × (25pi/36)

= 42.014pi

Area wiped by the wiper blade

217.014 - 42.014

Area = 175 square inches

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Ответ:

isabeltorres5

22.12.2022

Mathematics

answer: need points oof

step-by-step explanation:

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70. area a car's rear windshield wiper rotates 125º. the
total length of the wiper mechanism is 25 inches and
the length of the wiper blade is 14 inches. find the area
wiped by the wiper blade.

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70. area a car's rear windshield wiper rotates 125º. the total length of the wiper mechanism is 25 inches and the length of the wiper blade is 14 inches. find the area wiped by the wiper blade.

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70. area a car's rear windshield wiper rotates 125º. the
total length of the wiper mechanism is 25 inches and
the length of the wiper blade is 14 inches. find the area
wiped by the wiper blade.