Circle A has a radius of 12 in., m( arc BC )=π/6, m( arc CD ) = π/4. What is the area of the sector with the central angle ∠BAD?

Area of the sector = 94.25 in²

Step-by-step explanation:

From the picture attached,

Length of the radius of the circle = 12 in.

m(arc BC) =

m(arc CD) =

Therefore, m(arc BD) = m(arc BC) + m(arc CD)

m(arc BD) =

                 =

Since, area of a sector with central angle 'θ' is given by,

Area of the sector =

By substituting the measures in the given formula,

Area of sector BAD =

                                  =

                                  =

                                  = 94.25 in²

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step-by-step explanation: vsfdvsfvd

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: