Sectors, Segments, and Circular Regions: Practice Level 1 | Geometry

Level 1 · Foundational 0 / 12 answered

Question 1 of 12

1

Which description defines a circular segment?

Answer choices for question 1 A The region between two concentric circles B The region bounded by a chord and a chosen arc with the same endpoints C The region bounded by two radii and an arc D The curved boundary of a whole disk
2

A sector has radius $6$ cm and central angle $40^\circ$ . What is its exact area?

Answer choices for question 2 A $12\pi\text{ cm}^2$ B $8\pi\text{ cm}^2$ C $36\pi\text{ cm}^2$ D $4\pi\text{ cm}^2$
3

A sector has radius $3$ cm and central angle $2/3$ radian. What is its area?

Answer choices for question 3 A $3\text{ cm}^2$ B $6\text{ cm}^2$ C $9\text{ cm}^2$ D $3\pi\text{ cm}^2$
4

A sector has radius $5$ cm and central angle $108^\circ$ . What is its complete perimeter?

Answer choices for question 4 A $3\pi\text{ cm}$ B $(5+3\pi)\text{ cm}$ C $(10+3\pi)\text{ cm}$ D $(10+\frac{15\pi}{2})\text{ cm}$
5

A minor circular segment is cut off by a $90^\circ$ central angle in a circle of radius $2$ cm. What is its area?

Answer choices for question 5 A $\pi\text{ cm}^2$ B $(\pi+2)\text{ cm}^2$ C $(\pi-2)\text{ cm}^2$ D $(2\pi-2)\text{ cm}^2$
6

An annulus has outer radius 6 cm and inner radius 2 cm. What is its exact area?

Answer choices for question 6 A $32\pi\text{ cm}^2$ B $16\pi\text{ cm}^2$ C $40\pi\text{ cm}^2$ D $4\pi\text{ cm}^2$
7

An annulus has outer radius 9 cm and inner radius 2 cm. What is the total length of its two boundary circles?

Answer choices for question 7 A $14\pi\text{ cm}$ B $18\pi\text{ cm}$ C $77\pi\text{ cm}$ D $22\pi\text{ cm}$
8

The selected major sector has radius $6$ cm and angle $210^\circ$ . What is its area?

Answer choices for question 8 A $15\pi\text{ cm}^2$ B $21\pi\text{ cm}^2$ C $42\pi\text{ cm}^2$ D $36\pi\text{ cm}^2$
9

A sector has radius $4$ cm and angle $\pi/4$ radians. What is its area?

Answer choices for question 9 A $2\pi\text{ cm}^2$ B $4\pi\text{ cm}^2$ C $8\pi\text{ cm}^2$ D $2\text{ cm}^2$
10

Which pieces make up the complete boundary of a proper sector?

Answer choices for question 10 A The selected arc only B The chord and the selected arc C The selected arc and the two radii D The entire circle and one radius
11

A minor sector is partitioned into a triangle of area $17\text{ cm}^2$ and a circular segment of area $11\text{ cm}^2$ . What is the sector area?

Answer choices for question 11 A $6\text{ cm}^2$ B $28\text{ cm}^2$ C $187\text{ cm}^2$ D $56\text{ cm}^2$
12

An annulus has outer radius $R$ and inner radius $r$ , with $0<r<R$ . Which expression gives its area using the ring's width as a factor?

Answer choices for question 12 A $\pi(R-r)^2$ B $\pi(R+r)^2$ C $2\pi(R-r)$ D $\pi(R-r)(R+r)$