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3 years ago

Calculate the length of a minor arc OP in terms of π

Mathematics

2 answers:

Zarrin [17]3 years ago

5 0

Answer: $\bold{\dfrac{16}{3}\pi}$

Step-by-step explanation:

arc length (s) = radius (r) × θ (in radians)

radius (r) = 6 cm

major arc OP is 200°, so minor arc is 160°.

$\text{Convert degrees into radians}:\\\dfrac{\pi}{180}=\dfrac{\theta}{160}\\\\\\\dfrac{160\ \pi}{180}=\theta\\\\\\\dfrac{8\pi}{9}=\theta$

$s=r\times \theta\\\\.\ =6\times \dfrac{8\pi}{9}\\\\\\.\ =\dfrac{2\times 8\pi}{3}\\\\\\.\ =\dfrac{16}{3}\pi$

Tanzania [10]3 years ago

3 0

Answer:

arc length = radius * angle in degrees * (PI / 180)

arc length = 6 * 160 * (PI/180)

arc length = PI * 960 / 180

arc length = PI * 5 + (60/180)

arc length = (16/3) * PI

Step-by-step explanation:

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Missing Part of the Question

3 (4 - y) -7 ; 5 + 3y

9 + y + 4y - 2 - 3y; -2y + 7

5 + y - 2 - 6y + y; 8y + 3

2y + 7 + y - 2 + y; 4y + 5

Answer:

2y + 7 + y - 2 + y; 4y + 5

Step-by-step explanation:

Given

y = 3

Required

Which pair of expression are equal

To get the pair of expression that are equal; we simply substitute 3 for y in each of the expressions

3 (4 - y) -7 and 5 + 3y

Substitute 3 for y in 3 (4 - y) -7

This gives 3(4 - 3) -7

= 3(1) - 7

= 3 - 7

= -4

Then Substitute 3 for y in 5 + 3y

This gives 5 + 3(3)

= 5 + 9

= 14

-4 and 14 are not equal

---------------------------------------------------------------------------------------

9 + y + 4y - 2 - 3y; -2y + 7

Substitute 3 for y in 9 + y + 4y - 2 - 3y

This gives 9 + 3 + 4(3) - 2 - 3(3)

= 9 + 3 + 12 - 2 - 9

= 13

Then Substitute 3 for y in -2y + 7

This gives -2(3) + 7

= -6 + 7

= 1

13 and 1 are not equal

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5 + y - 2 - 6y + y; 8y + 3

Substitute 3 for y in 5 + y - 2 - 6y + y

This gives 5 + 3 - 2 - 6(3) + 3

= 5 + 3 - 2 - 18 + 3

= -9

Then Substitute 3 for y in 8y + 3

This gives 8(3) + 3

= 24 + 3

= 27

-9 and 27 are not equal

---------------------------------------------------------------------------------------

2y + 7 + y - 2 + y; 4y + 5

Substitute 3 for y in 2y + 7 + y - 2 + y

This gives 2(3) + 7 + 3 - 2 + 3

= 6 + 7 + 3 - 2 + 3

= 17

Then Substitute 3 for y in 4y + 5

This gives 4(3) + 5

= 12 + 5

= 17

17 and 17 are equal

Hence, Option D is correct

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3 years ago

Calculate the length of a minor arc OP in terms of π​

Calculate the length of a minor arc OP in terms of π