import math

def area_perim_circle(radius):
    area = math.pi*radius**2
    perimeter = 2*math.pi*radius
    return float(area), float(perimeter)

def area_volum_sphere(radius):
    area = 4*math.pi*radius**2
    volume = 4/3*math.pi*radius**3
    return float(area), float(volume)

def perim_area_rectangle(base,height):
    perimeter = base*2 + height*2
    area = base*height
    return float(perimeter), float(area)

def hypotenuse(leg1,leg2):
    hypot=math.sqrt(leg1**2+leg2**2)
    return float(hypot)

def legsrad(hypotenuse,rad):
    leg1=hypotenuse*math.sin(rad)
    leg2=hypotenuse*math.cos(rad)
    return float(leg1),float(leg2)

def legsdegree(hypotenuse,degree):
    rad=(2*math.pi*degree)/360
    leg1=hypotenuse*math.sin(rad)
    leg2=hypotenuse*math.cos(rad)
    return float(leg1),float(leg2)