Is a chord inside or outside of a circle?

If the radius is three inches, how long is the diameter?

Marks' first lessons in geometry — Part 17

What small part of the circumference of circle 1 (DIAGRAM 25.) is marked?

Marks' first lessons in geometry — Part 17

Which is longer, the arc _e d_, or the arc _e f_? _b d_, or _b d e_? _a b d_, or _a b d e_?

Marks' first lessons in geometry — Part 17

Name an arc which is half of the circumference.

_A semi-circumference is half of a circumference._

Read three arcs, each of which is one-fourth of the circumference.

If the whole circumference were divided into three hundred and sixty equal arcs, would each arc be large or small?

Each of these arcs would be called a “_degree_.” [Degrees are marked (°).]

_A degree of a circumference is a three hundred and sixtieth part of it._

How many degrees in a semi-circumference?

How many degrees in one-fourth of a circumference?

If a fourth of a circumference were divided into three equal parts, how many degrees would there be in each part?

Into how many parts would each third of a quarter have to be again divided to make single degrees?

Is an arc of ninety-one degrees greater or less than one-fourth of a circumference?

Is an arc of a hundred and seventy-nine degrees greater or less than a semi-circumference?

Can there be more than three hundred and sixty degrees in a circumference?

If the circumference of circle 1 were divided into degrees, each degree would be so small an arc that it would look like a dot.

If a degree were divided into sixty equal parts, each part would be called a minute.

If a minute were divided into sixty equal parts, each part would be called a second.

How many degrees in the large circle of Fig. 2?

Has a large circle any more degrees than a small circle?

In the large circle how many degrees from _a_ to _b_?

In the small circle how many from _a_ to _b_?

Which is greater, an arc of ninety degrees of the large circle, or one of ninety degrees of the small one?

Which is greater, an arc of a degree of the large circle, or one of a degree of the small one?

The angle _a o b_ has its vertex at what part of the larger circle?

On how many degrees of the larger circle does the angle stand?

On how many degrees of the smaller circle does it stand?

If the angle _a o f_ is an angle of 30°, how many degrees must there be in the arc _a f_?