The length of minute hand on a wall clock is 14cm. find the areas swept by the minute hand in 30min

In 30 minutes the minute hand makes half a turn around the clock, so it sweeps half a circle.

Given the radius , the area of a circle is

In this case, we're interested in half the area of a circle with radius 14cm, so we have

cm squared.

step-by-step explanation:

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or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!