y = 0 \text{ to } a, \quad x = -\sqrt{a^2 - y^2} \text{ to } \sqrt{a^2 - y^2}

y = -a \text{ to } a, \quad x = 0 \text{ to } \sqrt{a^2 - y^2}

x = 0 \text{ to } a, \quad y = -\sqrt{a^2 - x^2} \text{ to } \sqrt{a^2 - x^2}

(0, 0) and (-2, 2)

(1, 1) and (2, 2)

(0, 0) and (1, 1)

(0, 0) and (2, 2)

(1, -1) and (2, -2)

(1, -1)

(-1, 1)

(0, 0) and (1, -1)

Area

Length

cannot tell anything

Volume

x= -1 \ to\ 2, \quad y = 1 \ to\ 2, \quad z = -2 \ to \ 0

x= -2 \ to\ 0, \quad y = -1 \ to\ 2, \quad z = 1 \ to \ 2

x= 1 \ to\ 2, \quad y = -2 \ to\ 0, \quad z = -1 \ to \ 2

rt-s^2> 0 \ and \ r> 0

rt-s^2< 0 \ and \ r> 0

rt-s^2> 0 \ and \ r< 0

rt-s^2< 0 \ and \ r< 0

anywhere in the plane

at the origin only

around the neighbourhood of the point (-2, 5)

around the neighbourhood of the point (2, -5)

r = 0 \ to \ 2\ sec \, \theta\, \quad \theta = 0 \; to \ 2\pi

r = 0 \ to \ 2\ sec \, \theta\, \quad \theta = 0 \; to \ \frac{\pi}{4}

r = 0 \ to \ 2\ cosec \, \theta\, \quad \theta = 0 \; to \ \frac{\pi}{2}

r = 0 \ to \ 2\ cosec \, \theta\, \quad \theta = 0 \; to \ \frac{\pi}{4}

\frac{\pi}{16}

\frac{\pi}{32}

\frac{\pi}{64}

\frac{1}{16}

r = 0 \text{ to } a, \quad \theta = 0 \text{ to } \pi, \quad z = -\sqrt{a^2 - r^2} \text{ to } \sqrt{a^2 - r^2}

r = 0 \text{ to } a, \quad \theta = 0 \text{ to } \pi, \quad z = 0 \text{ to } \sqrt{a^2 - r^2}

r = 0 \text{ to } a, \quad \theta = 0 \text{ to } 2\pi, \quad z = -\sqrt{a^2 - r^2} \text{ to } \sqrt{a^2 - r^2}

r = 0 \text{ to } a, \quad \theta = 0 \text{ to } 2\pi, \quad z = 0 \text{ to } \sqrt{a^2 - r^2}