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Measurement, 2UG MM6 SM-Bank 02 MC

This is a sketch of a sector of a circle.

 Find the value of `theta` to the nearest degree.

(A)   `47°`

(B)   `48°`

(C)   `68°`

(D)   `69°`

Show Answers Only

`D`

Show Worked Solution
`text(Arc Length)` `= theta/360 xx 2 xx pi xx r`
`12`  `= theta/360 xx 2 xx pi xx 10`
`theta/360`  `= 12/(20 pi)`
`theta`  `= (12 xx 360)/(20 pi)`
  `= 68.75…°`

`=>  D`