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andrew11 [14]
3 years ago
13

A circle with radius 3 has a sector with a central angle of 60. What is the area of the sector?

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0

Step-by-step explanation:

central \:  \angle \: ( \theta) = 60 \degree \\ radius \: (r) = 3 \: units \\  \\ area \: of \: sector   \\ =  \frac{ \theta}{360 \degree}  \times \pi {r}^{2}  \\  \\  = \frac{ 60 \degree}{360 \degree}  \times 3.14 \times  {(3)}^{2}   \\  \\  = \frac{ 1}{6}  \times 3.14 \times 9 \\  \\  = 3.14 \times 1.5 \\ \\   = 4.71 \:  {units}^{2}  \\  \\  \purple{ \bold{area \: of \: sector  = = 4.71 \:  {units}^{2}}}

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Answer: $10

Step-by-step explanation:

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Then, to calculate the cost of each book, we need to divide the "Total spent" by 8:

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Please help thank you.
MA_775_DIABLO [31]
Question 1:

To start off this question, we can tell that this is a square because it has 4 right angles and 4 congruent sides.

A square has four parallel sides and 4 congruent sides, so a square is a rhombus and parallelogram. 

A square has 4 right angles, so it's also a rectangle.

A square has 4 sides, so it's also a quadrilateral.

The first choice is your answer.

Question 2:

Not all quadrilaterals are rectangles, so A is incorrect.

Not all quadrilaterals are squares, so B is incorrect.

All rectangles are types of quadrilaterals, so C is correct.

Not all quadrilaterals are parallelograms, so D is incorrect.

Thus, C is your answer.

Question 3: 

The first choice will not work because a rhombus will satisfy those conditions, and a rhombus is not always a square.

The second choice will work because only a square will satisfy that condition because only squares have 4 congruent sides along with equal diagonals.

Thus, the second choice is your answer.

Have an awesome day! :)
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