question: The radian is the standard unit of angular measure, used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it s; one radian is just under 57.3 degrees (expansion at ). The unit was formerly an SI supplementary unit, but this category was abolished in 1995 and the radian is now considered an SI derived unit.

Separately, the SI unit of solid angle measurement is the steradian.

The radian is represented by the symbol rad. An alternative symbol is , the superscript letter c (for "circular measure"), the letter r, or a superscript , but these symbols are infrequently used as it can be easily mistaken for a degree symbol () or a radius (r). So, for example, a value of 1.2 radians could be written as 1.2rad, 1.2r, 1.2, or 1.2, or 1.2.

Radian describes the plane angle subtended by a circular arc as the length of the arc divided by the radius of the arc. One radian is the angle subtended at the center of a circle by an arc that is equal in length to the radius of the circle. More generally, the magnitude in radians of such a subtended angle is equal to the ratio of the arc length to the radius of the circle; that is, , where "" is the subtended angle in radians, "s" is arc length, and "r" is radius. Conversely, the length of the enclosed arc is equal to the radius multiplied by the magnitude of the angle in radians; that is, .
1. What symbol represents the radian?
2. Are there any others?
3. Are they frequently used?
4. Why?
5. What does the term describe?
6. Is it used in many areas?
7. What is equal to the measurement in radians?
8. What was the units former classification?
9. Does that category still exist?
10. What happened to it?
11. When?
12. What is the category it is in now?
13. What is a steradian?
****
answer: 1. rad.
2. yes
3. no
4. but these symbols are infrequently used as it can be easily mistaken for a degree symbol () or a radius (r
5. the plane angle subtended by a circular arc
6. yes
7. The length of an arc of a unit circle
8. an SI supplementary unit
9. no
10. it was abolished
11. 1995
12. an SI derived unit.
13. the SI unit of solid angle measurement

question: CHAPTER THE SEVENTH.

THE DEBT.

ARNOLD was the first who broke the silence. "Is your father seriously ill?" he asked.

Geoffrey answered by handing him the card.

Sir Patrick, who had stood apart (while the question of Ratcatcher's relapse was under discussion) sardonically studying the manners and customs of modern English youth, now came forward, and took his part in the proceedings. Lady Lundie herself must have acknowledged that he spoke and acted as became the head of the family, on t his occasion.

"Am I right in supposing that Mr. Delamayn's father is dangerously ill?" he asked, addressing himself to Arnold.

"Dangerously ill, in London," Arnold answered. "Geoffrey must leave Windygates with me. The train I am traveling by meets the train his brother is traveling by, at the junction. I shall leave him at the second station from here."

"Didn't you tell me that Lady Lundie was going to send you to the railway in a gig?"

"Yes."

"If the servant drives, there will be three of you--and there will be no room."

"We had better ask for some other vehicle," suggested Arnold.

Sir Patrick looked at his watch. There was no time to change the carriage. He turned to Geoffrey. "Can you drive, Mr. Delamayn?"

Still impenetrably silent, Geoffrey replied by a nod of the head.

Without noticing the unceremonious manner in which he had been answered, Sir Patrick went on:

"In that case, you can leave the gig in charge of the station-master. I'll tell the servant that he will not be wanted to drive."
1. whose father is sick?
2. what is his last name?
3. is his dad very sick?
4. who asked him first?
5. how did Geoffrey reply?
6. who became leader of family
7. was Geoffrey going to see his dad?
8. how?
9. who was he travelling with?
10. where were they leaving from?
****
answer: 1. Geoffrey
2. Delamayn
3. Yes
4. ARNOLD
5. handing him the card
6. Lady Lundie
7. yes
8. by train
9. Arnold
10. Windygates

question: In a quiet house there was a dog named Bentley. Bentley was a little brown puppy and he was always getting into trouble. One day Bentley got outside and walked down the street. He found a trash can and started to dig through it. A cat came also to see what Bentley was doing. "Excuse me, but what are you looking for?" asked the cat. "Well, nothing important," Bentley told the cat. "I wanted to see if there was anything cool in there." The cat told Bentley that his name was Felix and asked if he could dig through the trash too. "Sure thing" Bentley told the cat. The two of them started to dig through the trash again. After a little bit the pair got bored and started to walk down the street going away from Bentley's house. They walked to a river and went to the edge of the water. They saw they were dirty because they had been digging in the trash so they went into the water to wash themselves. When they were clean they went back to Bentley's house. Inside the house they got water on everything because they were still wet. Bentley's human's came home and were very upset that their house was now very wet.
1. Who was the cat?
2. Who was the dog?
3. Was he black?
4. What color was he?
5. Was he well-behaved?
6. What did he search through?
7. Was he alone?
8. Did they find five different items?
9. Were they clean afterwards?
10. How did they get clean?
11. Did another friend join them?
12. What did they do last?
13. Did they make a mess there?
14. Why?
15. Were the humans pleased?
16. What did they feel?
17. Was the refuse bin in an alley?
****
answer:
1. Felix
2. Bentley
3. no
4. brown
5. no
6. a trash can
7. no
8. no
9. no
10. in the river
11. no
12. went home
13. yes
14. they were wet
15. no
16. very upset
17. no