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wariber [46]
3 years ago
11

A circle has a radius of 2.5 centimeters and a central angle AOB that measures 90°. What is the area of sector AOB? Use 3.14 for

pi and round your answer to the nearest tenth.
A. 2.9 cm2
B. 3.9 cm2
C. 4.9 cm2
D. 19.6 cm2
Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

The area of any circle is        (pi) x (radius)²  .

The area of the WHOLE circle in the question is

                                                 (pi) x (2.5 cm)²

                                             =  (pi) x (6.25 cm²) .

The full circle is made by 360° of central angles.

90° of central angle makes a pie-wedge (sector)
that's exactly one fourth of the circle, so its area
is one fourth of the area of the whole circle.

                     Area = (1/4) (pi) (6.25 cm²)

                               = (0.25) (3.14) (6.25 cm²)

                               =    4.906 cm² .

Rounded to the nearest tenth:   4.9 cm² .

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Leni [432]

Answer:

See explanation

Step-by-step explanation:

The ordered pair (25,20) shows that Chef Allen pays $20 for 20 pounds of beans. The ratio of pounds to dollars is

\dfrac{25}{20}=\dfrac{5}{4}

A. Another plotted points are (5,4), (10,8), (15,12) and (20,16). Find the ratio of pounds to dollars in each case:

(5,4):\ \ \ \dfrac{5}{4}\\ \\(10,8):\ \ \ \dfrac{10}{8}=\dfrac{5}{4}\\ \\(15,12):\ \ \ \dfrac{15}{12}=\dfrac{5}{4}\\ \\(20,16):\ \ \ \dfrac{20}{16}=\dfrac{5}{4}

All points show the same ratio.

B. The line connecting given points is the graph showing how much Chef Allen pays for different amounts of beans. This line starts at the origin (0,0) and passes through the points (5,4), (10,8), (15,12) and (20,16).

C. If he cost of 25 pounds of beans is $20, then the cost of 50 pounds of beans is $40.

7 0
3 years ago
Read 2 more answers
Diedre drew a quadrilateral with 4 right Angles and opposite sides of the same length. Name all the kinds of polygons that could
Aleksandr-060686 [28]

Answer:

The answer to the question is

The kinds of polygons that could be Diedre's quadrilateral are rectangle and square

Step-by-step explanation:

We  note the conditions of the polygon as thus

Number of sides = 4, Which include trapezoid, square, rectangle

Size of angles = 90 ° which eliminates trapezoid

Sizes of opposite sides = Equal opposite sides, includes square and rectangle

With the above we conclude that the possible polygons in Diedre's quadrilateral are rectangle and square

8 0
3 years ago
Students heights in inches were obtained as part of a study and a frequency distribution was constructed with the first class ha
polet [3.4K]
The frequency of the second class is 6.

Since the class width is 6 and the lower limit of the first class is 50, this means the first class goes from 50-55.  This would put the second class at 56-61.  There are 6 data points in this set that would go in the second class.
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What is the volume of a box that is 12” x 16” wide and 24 inches in length
solmaris [256]

Answer:

4608

Step-by-step explanation:to find volume you need to multiply.In this case we need to multiply 12*16*24 which equals 4608.

12*16=192*24=4608

3 0
3 years ago
the diameter of a bike wheel is 25 inches. If the wheelmakes 20 Complete rotations, how far does the bike travel?
Iteru [2.4K]

Answer:

1571 in

Step-by-step explanation:

Given data

Diamter= 25 in

radius= 25/2= 12.5in

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substitute

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In 1 revolution the bike will travel 78.55in

in 20 revolutions the bike will travel

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=1571 in

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2 years ago
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