Question 1

The diameter of a circle is $32cm$. If a central angle measures $67°$, find the length of the intercepted arc.

Accepted Answer

$l=18.7cm$

Answer

$l=14.5cm$

Answer

$l=8.5cm$

Answer

$l=10cm$

Question 2

An arc is $14.2cm$ long and intercepted by a central angle of $70°$. What is the area of the intercepted arc?

Accepted Answer

$A=17.3cm^2$

Answer

$A=26.5cm^2$

Answer

$A=10.2cm^2$

Answer

$A=20.7cm^2$

Question 3

A sector has an area of $25.3cm^2$. The radius of the circle is $6cm$. Find the length of the intercepted arc.

Accepted Answer

$l=8.4cm$

Answer

$l=11.5cm$

Answer

$l=18.8cm$

Answer

$l=9.6cm$

Question 4

A sector has an area of $30m^2$. The angle is $1.2radians$. Find the diameter of the circle.

Accepted Answer

$d=13cm$

Answer

$d=8.6cm$

Answer

$d=10.5cm$

Answer

$d=7cm$

Question 5

The length of an arc is $115 mm$. Knowing that the area of the intercepted arc is $220mm^2$, find the angle of the intercepted arc in degrees.

Accepted Answer

$θ=217.8°$

Answer

$θ=90°$

Answer

$θ=110.7°$

Answer

$θ=27.2°$

Question 6

A pendulum is $18.3cm$ long and the bob at the end of the pendulum travels $8.5cm$. Find the radians measure of the angle through which the pendulum swings.

Accepted Answer

$θ=0.5radians$

Answer

$θ=1.4radians$

Answer

$θ=0.3radians$

Answer

$θ=2.2radians$

Question 7

A pendulum when released crosses a length of $25cm$ and covers a sector of $20cm^2$. What is the radius of the intercepted arc formed by the pendulum?

Accepted Answer

$r=1.6cm$

Answer

$r=0.5cm$

Answer

$r=0.8cm$

Answer

$r=2.2cm$

Question 8

If the radius of a circle is doubled and the measure of the central angle remains constant, the length of the arc will:

Accepted Answer

double

Answer

remain constant

Answer

halved

Answer

quadrupled

Question 9

If we double the radius but keep the angle constant, the area of the arc will:

Accepted Answer

quadruple

Answer

halved

Answer

double

Answer

remain constant

Question 10

The area of the intercepted  arc is $25in^2$ and radius is $5in$. Find the perimeter of the intercepted arc.

Accepted Answer

$P=20in$

Answer

$P=10in$

Answer

$P=15in$

Answer

$P=5in$

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