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# A circle with a radius of 5 cm with a 12 square cm area of a sector. Find the measure of the central angle of the sector in degrees.

• Réponse publiée par: ShairaGailSanchez
According to the question : -

a₁ = x + 6 , a₂ = 2x + 1 and a₃ = 4x - 13

use this rule of common difference : -

a₂ - a₁ = a₃ - a₂

2x + 1 - (x + 6) = 4x - 13 - (2x + 1)

here solve the bracket we get : -

2x + 1 - x - 6 = 4x - 13 - 2x - 1

2x - x - 4x + 2x = -13 - 1 - 1 + 6

-x = -9

here will be removed : -

x = 9

★substitute the value of x we get : -

a₁ = x + 6

⇒9 + 6 = 15

a₂ = 2x + 1

⇒   2 × 9 + 1 = 19

a₃ = 4x - 13

⇒   4 × 9 - 13 = 23

: - 15, 19,

5th term will be : -

n = 5

a₁ = 15

an = a₁ + (n-1)(d)

★substitute the values we get : -

a₅ = 15 + (5 -1)(4)

a₅ = 15 + 16

a₅ = 31

★hence we get fifth term which is 31.
• Réponse publiée par: kurtiee

yes ..

• Réponse publiée par: nila93

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• Réponse publiée par: reyquicoy4321

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Step-by-step explanation:

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"a negative number is always less than a positive number"

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A circle with a radius of 5 cm with a 12 square cm area of a sector. Find the measure of the central...