MATHEMATICS COLLEGE

A rectangle is inscribed in a circle.Calculate the area of the circle. Use 3.14 for π. Round to the nearest hundredth.

1___ Square centimeters

2 Calculate the area of the rectangle.

3. Calculate the area of the shaded region. Use 3.14 for π. Round to the nearest hundredth.

Answers

Answer 1

Answer:

Answer:

1. The area of the circle is 132.67 square centimeters

2. The area of the rectangle is 60 square centimeters

3. The area of the shaded region is 72.67 square centimeters

Step-by-step explanation:

* Lets explain how to solve the problem

- A rectangle is inscribed in a circle, that means the vertices of the

rectangle lie on the circumference of the circle

∴ The diagonal of the rectangle = the diameter of the circle

- From the attached figure

∵ The diameter of the circle = 13 cm

∵ The radius of the circle is half the diameter

∴ The radius of the circle = 1/2 (13) = 6.5 cm

- The area of the circle = πr²

∵ π = 3.14

∴ The area of the circle = 3.14 × (6.5)² = 132.67 cm²

1. The area of the circle is 132.67 square centimeters

- The area of any rectangle = length × width

∵ The length of the rectangle is 12 cm

∵ The width of the rectangle is 5 cm

∴ The area of the rectangle = 12 × 5 = 60 cm²

2. The area of the rectangle is 60 square centimeters

- The area of the shaded region is the difference between the

area of the circle and the area of the rectangle

∵ The area of the circle = 132.67 cm²

∵ The area of the rectangle = 60 cm²

∵ The area of the shaded region = area of circle - area of rectangle

∴ The area of the shaded region = 132.67 - 60 = 72.67 cm²

3. The area of the shaded region is 72.67 square centimeters

Related Questions

What’s the LCD Of 5/8
Help please =) I need to get this right so I can move on in my lesson things
7n+4n combine the like terms to create an equivalent expression
the volume of a 15oz cereal box is 180.4in cube. the length of the box is 3.2 in. less than the height and the width is 2.3 in. find the height and length of the box to the nearest tenth.
You want to rent an unfurnishedone-bedroomapartment for next semester. The mean monthlyrent for a randomsample of 10 apartments advertised in the localnewspaper is $580.Assume that the standard deviation is$90. Find a 95% confidenceinterval for the mean monthly rentfor unfurnished one bedroomapartments available for rent in thiscommunity.

1. EF is (a secant of, tangent to) OX.2. DF is a (chord, locus) of OX.

3. AABC is made of (chords in, tangents to) OX.

4. ZDEF is an (intercepted arc, inscribed angle) of OX.

Answers

Answer:

1 . EF is a secant of OX

2. DF is a chord of OX.

3. AABC is made of tangents to OX

4. ∠DEF is an inscribed angle of OX.

Step-by-step explanation:

Secant is line which intersects a circle from two distant points. Locus is a set of points which is same distance from the center of a circle. Chord is a straight line whose end points lie on circular arc of a circle. Tangent is a line which touches the circle at one point only.

Smplify the following algebraic expression: 6(2y + 8) - 2(3y - 2)

Answers

Answer:

6y +52

Step-by-step explanation:

6(2y + 8) - 2(3y - 2)

Distribute

12y + 48 - 6y +4

Combine like terms

6y +52

Points F (0,0), G (9,0), and H (9,12) are the vertices of a triangle.What is the distance from point F to point H?

A. 9
B. 12
C. 15
D. 21

Answers

The distance from point F to point H is 15 units. Option C is correct.

In order to get the distance from point F to point H, we will use the distance formula as shown:

$D =√((x_2-x_1)^2+(y_2-y_1)^2)$

Given the coordinate points F(0,0) and H(9, 12)

$FH=√((12-0)^2+(9-0)^2)\nFH =√(12^2+9^2)\nFH=√(144+81)\nFH=√(225)\nFH = 15units$

Hence the distance from point F to point H is 15 units. Option C is correct.

Learn more here: brainly.com/question/22624745

Answer:

Step-by-step explanation:

Because I said so

Quan likes to exercise by running every day. On average, he runs 5 miles each day. This varies by about 0.3 mile. What are the maximum and minimum numbers of miles Quan is expected to run each day?

Answers

Answer:

Quan runs a maximum of 5.3 miles and a minimum of 4.7 miles every day.

Step-by-step explanation:

Let x= the actual measurement.

|actual − ideal|≤ tolerance

Use an absolute value inequality to express this situation.

|x−5|≤0.3

Rewrite as a compound inequality.

−0.3≤x−5≤0.3

Solve the inequality.

4.7≤x≤5.3

Answer the question. Quan runs a maximum of 5.3 miles and a minimum of 4.7 miles every day.

What's the answer? It's not a fraction.

Answers

it would be 10 I'm sure

3/2x = 15
x = 15 *2/3
x = 30/3
x =10

use the function rule, y=2x +5, to find the values of y when x=1,2,3,and 4. write the answers as ordered pairs that would be used to graph the function please show work

Answers

y = 2x + 5

x = 1

Replace x with 1, and evaluate the right side.

y = 2 * 1 + 5 = 2 + 5 = 7

Ordered pair: (1, 7)

x = 2

Replace x with 2, and evaluate the right side.

y = 2 * 2 + 5 = 4 + 5 = 9

Ordered pair: (2, 9)

x = 3

Replace x with 3, and evaluate the right side.

y = 2 * 3 + 5 = 6 + 5 = 11

Ordered pair: (3, 11)

x = 4

Replace x with 4, and evaluate the right side.

y = 2 * 4 + 5 = 8 + 5 = 13

Ordered pair: (4, 13)

The 4 ordered pairs are: (1, 7), (2, 9), (3, 11), (4, 13)