Question

Answer please and leave an explanation too! thank you!

1. If the arc angle of a sector is doubled, then the area of the sector......
A. is half
B. remains the same
C. doubles (increases by a factor of two)
D. triples (increases by a factor of three)
E. quadruples (increases by a factor of four)

2. If the radius of a sector is doubled, then the area of the sector......
A. is half
B. remains the same
C. doubles (increases by a factor of two)
D. triples (increases by a factor of three)
E. quadruples (increases by a factor of four)

Answer 1

1-C; 2-D.

Explanation:

0) the common formula is:

area=π*r²;

1) according to the formula above the area of the sector C. doubles (increases by a factor two);

2) according to the formula the area of the sector D. quadruples (increases by a factor four).