Triangle a b c is shown with its exterior angles. angle b a c is (p + 4) degrees and angle a c b is 84 degrees. exterior angle x b c is (3 p minus 6 degrees).
what is the measure of ∠xbc?

m∠xbc = m∠bac + m∠bca
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.