The given conditions |z|≤4 and −π/2≤arg(z)≤π/3 represent a sector of a circle in the Argand plane. The radius of the circle is 4 and the angle of the sector is π/3 - (-π/2) = 5π/6.

The area of a sector of a circle is given by (1/2)*r^2*θ, where r is the radius and θ is the angle of the sector in radians.

Substituting the given values, we get the area of the sector as (1/2)*4^2*(5π/6) = 10π/3.

So, the area of the region is expressed in the form of aπ/b, where a = 10 and b = 3.

Therefore, the value of ab is 10*3 = 30.

Question

The given conditions |z|≤4 and −π/2≤arg(z)≤π/3 represent a sector of a circle in the Argand plane. The radius of the circle is 4 and the angle of the sector is π/3 - (-π/2) = 5π/6.

The area of a sector of a circle is given by (1/2)*r^2*θ, where r is the radius and θ is the angle of the sector in radians.

Substituting the given values, we get the area of the sector as (1/2)*4^2*(5π/6) = 10π/3.

So, the area of the region is expressed in the form of aπ/b, where a = 10 and b = 3.

Therefore, the value of ab is 10*3 = 30.

Knowee AI · Accepted Answer

The given conditions |z|≤4 and −π/2≤arg(z)≤π/3 represent a sector of a circle in the Argand plane. The radius of the circle is 4 and the angle of the sector is π/3 - (-π/2) = 5π/6.

The area of a sector of a circle is given by (1/2)*r^2*θ, where r is the radius and θ is the angle of the sector in radians.

Substituting the given values, we get the area of the sector as (1/2)*4^2*(5π/6) = 10π/3.

So, the area of the region is expressed in the form of aπ/b, where a = 10 and b = 3.

Therefore, the value of ab is 10*3 = 30.

he area of the region bounded by |z|≤4 &−π2≤argz≤π3𝑧≤4 &-𝜋2≤𝑎𝑟𝑔𝑧≤𝜋3 on the Argand diagram is expressed in the form of aπb.𝑎𝜋𝑏. Then find the value of ab𝑎𝑏 (where a & b𝑎 & 𝑏 are co-prime natural number)

Question

Solution

Similar Questions

Upgrade your grade with Knowee