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What is the area formula for a half circle?

    ##(pir^2)/2##

    The typical area for a circle is:

    ##color(white)(sss)A=pir^2##

    Divide both sides by ##2##, or multiply both by ##1/2##, to find the formula for half the area:

    ##color(white)(sss)A/2=(pir^2)/2##

    We can do a practice problem: what’s the area of a half a circle (a semicircle) with a radius of ##6##?

    ##color(white)(sss)A_”semicircle”=(pi(6)^2)/2##

    ##color(white)(sss)=>(36pi)/2##

    ##color(white)(sss)=>18pi##

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