09.09.2020

In circle G with m

. 4

Faq

Mathematics
Step-by-step answer
P Answered by Master

1)Area of circle: 64\pi

2)Area of semicircles: 128\pi

3)Area of quarter-circles: 128\pi

4)Total area of pattern: 320\pi

Step-by-step explanation:

r = 8cm

Given: 1 circle, 4 semicircles, and 8 quarter-circles.

Area of a circle: \pi r^{2}

1) A = \pi r^{2} where r = 8

A = 64\pi

2) 4 semicircles = 2 circles

so the answer is 2*A = 128\pi

3) 8 quarter-circles = 2 circles

Therefore, the answer here is the same as the answer for #2!

4)There are 5 circles total because:

1 circle = 1 circle

4 semicircles divided by 2 = 2 circles (because \frac{1}{2} times 4)

8 quarter-circles divided by 4 (think about what "quarter" means) = 2 circles

So ... 1 + 2 + 2 = 5 circles

Now we need to find the area of 5 circles which is just 5*A

5*A = 320\pi

Mathematics
Step-by-step answer
P Answered by Master

1)Area of circle: 64\pi

2)Area of semicircles: 128\pi

3)Area of quarter-circles: 128\pi

4)Total area of pattern: 320\pi

Step-by-step explanation:

r = 8cm

Given: 1 circle, 4 semicircles, and 8 quarter-circles.

Area of a circle: \pi r^{2}

1) A = \pi r^{2} where r = 8

A = 64\pi

2) 4 semicircles = 2 circles

so the answer is 2*A = 128\pi

3) 8 quarter-circles = 2 circles

Therefore, the answer here is the same as the answer for #2!

4)There are 5 circles total because:

1 circle = 1 circle

4 semicircles divided by 2 = 2 circles (because \frac{1}{2} times 4)

8 quarter-circles divided by 4 (think about what "quarter" means) = 2 circles

So ... 1 + 2 + 2 = 5 circles

Now we need to find the area of 5 circles which is just 5*A

5*A = 320\pi

Mathematics
Step-by-step answer
P Answered by PhD

In the figures attached, the complete question is shown.

What is the difference between a minor arc and a major arc?

the measure of a minor arc is less than 180°

the measure of a major arc is greater than 180°

How many letters do we use to name a MINOR arc? 2

How many letters do we use to name a MAJOR arc? 3

How many degrees are in a semi-circle? 180°

How many letters to name a SEMI CIRCLE? 3

1. Name of arc: AB Type of arc: minor

2. Name of arc: ADB Type of arc: major

3. Name of arc: PSQ  Type of arc: semi-circle

4. AE: minor

5. AEB: semi-circle

6. FDE: semi-circle

7. DFB: major

8. FA: minor

9. BE: minor

10. BDA: semi-circle

11. FBD: major

12. PQ and ST

13. QPT and  PUS

14. PUT and QPU

15. There are 360° degrees in a circle.

16. There are 180° degrees in a semi-circle.

17. The measure of the arc is equal to the measure of the central angle.

18. mPQ: 50°, mPXQ: 310°

19. mPQ: 90° , mPRQ: 270°

20. mPQ: 150° , mPXQ: 210°

21. mQS: 45°, mQRS: 315°

22. mGH: 30°, mGFH: 330°

23. mAB: 75°, mADB: 285°


Geometry worksheet 11.1-11.2 angles and arcs in a circle  what is the difference between a minor arc
Geometry worksheet 11.1-11.2 angles and arcs in a circle  what is the difference between a minor arc
Mathematics
Step-by-step answer
P Answered by PhD

In the figures attached, the complete question is shown.

What is the difference between a minor arc and a major arc?

the measure of a minor arc is less than 180°

the measure of a major arc is greater than 180°

How many letters do we use to name a MINOR arc? 2

How many letters do we use to name a MAJOR arc? 3

How many degrees are in a semi-circle? 180°

How many letters to name a SEMI CIRCLE? 3

1. Name of arc: AB Type of arc: minor

2. Name of arc: ADB Type of arc: major

3. Name of arc: PSQ  Type of arc: semi-circle

4. AE: minor

5. AEB: semi-circle

6. FDE: semi-circle

7. DFB: major

8. FA: minor

9. BE: minor

10. BDA: semi-circle

11. FBD: major

12. PQ and ST

13. QPT and  PUS

14. PUT and QPU

15. There are 360° degrees in a circle.

16. There are 180° degrees in a semi-circle.

17. The measure of the arc is equal to the measure of the central angle.

18. mPQ: 50°, mPXQ: 310°

19. mPQ: 90° , mPRQ: 270°

20. mPQ: 150° , mPXQ: 210°

21. mQS: 45°, mQRS: 315°

22. mGH: 30°, mGFH: 330°

23. mAB: 75°, mADB: 285°


Geometry worksheet 11.1-11.2 angles and arcs in a circle  what is the difference between a minor arc
Geometry worksheet 11.1-11.2 angles and arcs in a circle  what is the difference between a minor arc
Computers and Technology
Step-by-step answer
P Answered by PhD

public static double areaSum(Circle c1, Circle c2){

 double c1Radius = c1.getRadius();

 double c2Radius = c2.getRadius();

 return Math.PI * (Math.pow(c1Radius, 2) + Math.pow(c2Radius, 2));

public static void main(String[] args){

 Circle c1 = new Circle(6.0);

 Circle c2 = new Circle(8.0);

  areaSum(c1,c2);

 }

Explanation:


Write a method that takes two circles, and returns the sum of the areas of the circles.

This method
Mathematics
Step-by-step answer
P Answered by PhD

Inscribed angle theorem

Step-by-step explanation:

This theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

In this case, the angle is ∠LMN and the arc is arc LN. Arc LN measures 180°,  because segment LN is the diameter of the circle. Then, by the theorem:

∠LMN = (1/2)*arc LN = (1/2)*180° = 90°

Mathematics
Step-by-step answer
P Answered by PhD
To complete steps 5 - 6 of the proof, refer to the diagram shown below.

Because OL = OM = ON = the radius, therefore each of ΔOLM and ΔONM is an isosceles triangle.
ΔOLM has two equal angles denoted by a, and ΔONM has two equal angles denoted by b.

The central angles x and y add up to 180° on a straight line, so
x + y = 180           (1)

Because angles in a triangle sum to 180°, therefore
x + 2a = 180        (2)
y + 2b = 180        (3)

Add (2) and (3) to obtain
x + y + 2(a + b) = 360

From (1), obtain
180 + 2(a + b) = 360
2(a + b) = 180
a + b = 90

Because (a + b) = ∠LMN,  it proves that ∠LMN = 90°
Given:  circle o with diameter ln and inscribed angle lmn prove:  is a right angle. what is the miss

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