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Firlakuza [10]
3 years ago
11

a triangle has sides that measure 4 units 6 units and 7.21 units what is the area of a circle with a circumference that equals t

he perimeter of the triangle use 3.14 for pie and round your answer to the nearest whole number
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
6 0

Answer:

Area of the circle = 24 square units.

Step-by-step explanation:

A triangle has sides that measure 4 units 6 units and 7.21 units

We are told that the Perimeter of the Triangle = Circumference of a circle.

We are to find the Area of the circle.

Step 1

Find the Perimeter of the triangle

Perimeter = A + B + C

Perimeter = 4 units + 6 units + 7.21 units

Perimeter of the Triangle = 17.21 units

Step 2

Find the radius

We were asked to find the area of the circle.

We were not given the radius of the circle in the question. But we can find it because we are given the circumference of the circle.

Circumference of the circle = 2πr

Perimeter of the triangle = Circumference of the circle

Hence the circumference of the circle = 17.21 units.

π = 3.14

Radius of the circle = Circumference of a circle/ 2π

= 17.21/2 × 3.14

= 17.21/6.28

= 2.7404458599

Approximately = 2.74 units

Step 3

Find the Area of the circle

We know the radius of the circle hence,

Area of the circle = πr²

Area of the circle = 3.14 × 2.74²

= 23.573864 square units.

Approximately to the nearest whole number ≈ 24 square units.

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A rectangle has a length that is 3 more than the width. If the area of the rectangle is 28 units squared, what are the dimension
Alona [7]

you can think this

WL = 28

L=3w + 8

W( 3W +8) = 28

3 W^2 + 8W + = 28

3W^2 + 8W -28 = 0 (1)

3 W^2 - 6 W + !4 W -28 =0-

3 W ( W - 2 ) + 14 ( W -2) =0

(3W+ 14) ( w-2) = 0

w = 2 L = 3(2) + 8 = 14 , then LW =28

ignore the negative answer of w = -14/3

If we write all factors of 28 { 2, 4 , 7, 14)

We see that 28 = 2 * 14 , 14 = 2* 3 + 8

Therefore we can have a rectangle with area of 28 units, with 2, 14 be its dimension , and have the

property of L = 2*3 +8 (

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Nicole B. answered • 01/18/14

TUTOR 4.9 (82)

Change Challenges into SUCCESS! All Ages and Stages + TEST PREP

SEE TUTORS LIKE THIS

Hi Victoria,

Area=Length x width= 28 sq in

L=8+3w

So substitute that back into the equation:

Area = L x W

28 sq in = (8+3w) x w

28 sq in = 8w +3w2

28 sq in = w (8 + 3w)

Possible factors of 28 are 2 and 14 or 4 and 7, and 1 and 28. Substituting the possibilities in the equation, we find that the correct set of factors are 2 and (8 + 3*2) or 14.

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Arthur D. answered • 01/18/14

TUTOR 4.9 (67)

Mathematics Tutor With a Master's Degree In Mathematics

ABOUT THIS TUTOR ›

w=width

l=3w+8

A=l*w

28=(3w+8)(w)

28=3w^2+8w

3w^2+8w-28=0

(3w+14)(w-2)=0

3w+14=0

3w=-14

w=-14/3, disregard this answer because it is negative

w-2=0

w=2

l=3*2+8

l=14

check: 28=14*2=28

l=14 inches

w=2 inches

14 is 8 more than 3 times 2 !

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Tom D. answered • 01/18/14

TUTOR New to Wyzant

Very patient Math Expert who likes to teach

SEE TUTORS LIKE THIS

1) A=LW = 28 in

2) L = 3W + 8

Substitute L = 28/W into the 2nd equation

28/W = 3W + 8

28 = 3W^2 + 8W

3W^2 + 8W - 28 = 0

(3W+ 14)(W - 2) = 0

Note that the answer must be positive therefore the second 'zero' is the answer

4 0
3 years ago
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