Acircle has a radius of 4 meters. what is the area of the sector formed by a central angle measuring 2.4 radians?

The area of the sector formed by a central angle measuring 2.4 radians is 19.2 m²

A circle is the locus of a point such that its distance from a fixed point is always constant.

The area (A) of a sector is given by:

A = θ * (1/2)r²

Where θ is the central angle in rad and r is the radius of the circle.

Given that r = 4m, and θ = 2.4 rads, hence:

A = θ * (1/2)r²

A= 2.4 * (1/2) * 4² = 19.2 m²

Hence the area of the sector formed by a central angle measuring 2.4 radians is 19.2 m²

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step-by-step explanation:

abc

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180